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Finding the Fourth Proportional to 19,538, 29,311.86 and 5,687

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Solution

The fourth proportional to 19,538, 29,311.86 and 5,687 is: 8,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538 : 29,311.86 = 5,687 : x
  2. Step 2: Convert to fraction form
    19,538/29,311.86 = 5,687/x
  3. Step 3: Cross multiply
    19,538x = 29,311.86 × 5,687
  4. Step 4: Simplify right side
    19,538x = 166,696,547.82
  5. Step 5: Solve for x
    x = 166,696,547.82/19,538
  6. Step 6: Final answer
    x = 8,531.91

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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.