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Finding the Fourth Proportional to 31,871.84, 43,978.02 and 17,724.38

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Solution

The fourth proportional to 31,871.84, 43,978.02 and 17,724.38 is: 24,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.84 : 43,978.02 = 17,724.38 : x
  2. Step 2: Convert to fraction form
    31,871.84/43,978.02 = 17,724.38/x
  3. Step 3: Cross multiply
    31,871.84x = 43,978.02 × 17,724.38
  4. Step 4: Simplify right side
    31,871.84x = 779,483,138.13
  5. Step 5: Solve for x
    x = 779,483,138.13/31,871.84
  6. Step 6: Final answer
    x = 24,456.80

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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.