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Finding the Fourth Proportional to 31,153.38, 42,990.06 and 17,724.36

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Solution

The fourth proportional to 31,153.38, 42,990.06 and 17,724.36 is: 24,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.38 : 42,990.06 = 17,724.36 : x
  2. Step 2: Convert to fraction form
    31,153.38/42,990.06 = 17,724.36/x
  3. Step 3: Cross multiply
    31,153.38x = 42,990.06 × 17,724.36
  4. Step 4: Simplify right side
    31,153.38x = 761,971,299.86
  5. Step 5: Solve for x
    x = 761,971,299.86/31,153.38
  6. Step 6: Final answer
    x = 24,458.70

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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.