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Finding the Fourth Proportional to 9,405.88, 12,950.52 and 7,986.76

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Solution

The fourth proportional to 9,405.88, 12,950.52 and 7,986.76 is: 10,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.88 : 12,950.52 = 7,986.76 : x
  2. Step 2: Convert to fraction form
    9,405.88/12,950.52 = 7,986.76/x
  3. Step 3: Cross multiply
    9,405.88x = 12,950.52 × 7,986.76
  4. Step 4: Simplify right side
    9,405.88x = 103,432,695.12
  5. Step 5: Solve for x
    x = 103,432,695.12/9,405.88
  6. Step 6: Final answer
    x = 10,996.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.