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Finding the Fourth Proportional to 8,531.30, 11,750.58 and 7,412.28

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Solution

The fourth proportional to 8,531.30, 11,750.58 and 7,412.28 is: 10,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.30 : 11,750.58 = 7,412.28 : x
  2. Step 2: Convert to fraction form
    8,531.30/11,750.58 = 7,412.28/x
  3. Step 3: Cross multiply
    8,531.30x = 11,750.58 × 7,412.28
  4. Step 4: Simplify right side
    8,531.30x = 87,098,589.12
  5. Step 5: Solve for x
    x = 87,098,589.12/8,531.30
  6. Step 6: Final answer
    x = 10,209.30

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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.