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Finding the Fourth Proportional to 10,607.10, 15,897.31 and 9,287.71

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Solution

The fourth proportional to 10,607.10, 15,897.31 and 9,287.71 is: 13,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.10 : 15,897.31 = 9,287.71 : x
  2. Step 2: Convert to fraction form
    10,607.10/15,897.31 = 9,287.71/x
  3. Step 3: Cross multiply
    10,607.10x = 15,897.31 × 9,287.71
  4. Step 4: Simplify right side
    10,607.10x = 147,649,683.76
  5. Step 5: Solve for x
    x = 147,649,683.76/10,607.10
  6. Step 6: Final answer
    x = 13,919.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.