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Finding the Fourth Proportional to 9,412.85, 12,986.03 and 6,579.47

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Solution

The fourth proportional to 9,412.85, 12,986.03 and 6,579.47 is: 9,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.85 : 12,986.03 = 6,579.47 : x
  2. Step 2: Convert to fraction form
    9,412.85/12,986.03 = 6,579.47/x
  3. Step 3: Cross multiply
    9,412.85x = 12,986.03 × 6,579.47
  4. Step 4: Simplify right side
    9,412.85x = 85,441,146.32
  5. Step 5: Solve for x
    x = 85,441,146.32/9,412.85
  6. Step 6: Final answer
    x = 9,077.08

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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.