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Finding the Fourth Proportional to 15,785, 23,677.68 and 4,691.40

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Solution

The fourth proportional to 15,785, 23,677.68 and 4,691.40 is: 7,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785 : 23,677.68 = 4,691.40 : x
  2. Step 2: Convert to fraction form
    15,785/23,677.68 = 4,691.40/x
  3. Step 3: Cross multiply
    15,785x = 23,677.68 × 4,691.40
  4. Step 4: Simplify right side
    15,785x = 111,081,467.95
  5. Step 5: Solve for x
    x = 111,081,467.95/15,785
  6. Step 6: Final answer
    x = 7,037.15

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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.