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Finding the Fourth Proportional to 21,318.76, 31,979.94 and 5,737.24

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Solution

The fourth proportional to 21,318.76, 31,979.94 and 5,737.24 is: 8,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.76 : 31,979.94 = 5,737.24 : x
  2. Step 2: Convert to fraction form
    21,318.76/31,979.94 = 5,737.24/x
  3. Step 3: Cross multiply
    21,318.76x = 31,979.94 × 5,737.24
  4. Step 4: Simplify right side
    21,318.76x = 183,476,590.97
  5. Step 5: Solve for x
    x = 183,476,590.97/21,318.76
  6. Step 6: Final answer
    x = 8,606.34

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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.