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Finding the Fourth Proportional to 11,438, 15,785.40 and 6,470.96

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Solution

The fourth proportional to 11,438, 15,785.40 and 6,470.96 is: 8,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438 : 15,785.40 = 6,470.96 : x
  2. Step 2: Convert to fraction form
    11,438/15,785.40 = 6,470.96/x
  3. Step 3: Cross multiply
    11,438x = 15,785.40 × 6,470.96
  4. Step 4: Simplify right side
    11,438x = 102,146,691.98
  5. Step 5: Solve for x
    x = 102,146,691.98/11,438
  6. Step 6: Final answer
    x = 8,930.47

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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.