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Finding the Fourth Proportional to 10,488, 15,711.02 and 6,325.71

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Solution

The fourth proportional to 10,488, 15,711.02 and 6,325.71 is: 9,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488 : 15,711.02 = 6,325.71 : x
  2. Step 2: Convert to fraction form
    10,488/15,711.02 = 6,325.71/x
  3. Step 3: Cross multiply
    10,488x = 15,711.02 × 6,325.71
  4. Step 4: Simplify right side
    10,488x = 99,383,324.70
  5. Step 5: Solve for x
    x = 99,383,324.70/10,488
  6. Step 6: Final answer
    x = 9,475.91

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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.