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Finding the Fourth Proportional to 10,007.52, 15,008 and 4,165.76

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Solution

The fourth proportional to 10,007.52, 15,008 and 4,165.76 is: 6,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.52 : 15,008 = 4,165.76 : x
  2. Step 2: Convert to fraction form
    10,007.52/15,008 = 4,165.76/x
  3. Step 3: Cross multiply
    10,007.52x = 15,008 × 4,165.76
  4. Step 4: Simplify right side
    10,007.52x = 62,519,726.08
  5. Step 5: Solve for x
    x = 62,519,726.08/10,007.52
  6. Step 6: Final answer
    x = 6,247.27

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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.