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Finding the Fourth Proportional to 9,670.40, 13,293.82 and 8,321.08

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Solution

The fourth proportional to 9,670.40, 13,293.82 and 8,321.08 is: 11,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.40 : 13,293.82 = 8,321.08 : x
  2. Step 2: Convert to fraction form
    9,670.40/13,293.82 = 8,321.08/x
  3. Step 3: Cross multiply
    9,670.40x = 13,293.82 × 8,321.08
  4. Step 4: Simplify right side
    9,670.40x = 110,618,939.73
  5. Step 5: Solve for x
    x = 110,618,939.73/9,670.40
  6. Step 6: Final answer
    x = 11,438.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.