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Finding the Fourth Proportional to 30,744, 42,387.84 and 22,772.88

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Solution

The fourth proportional to 30,744, 42,387.84 and 22,772.88 is: 31,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,744 : 42,387.84 = 22,772.88 : x
  2. Step 2: Convert to fraction form
    30,744/42,387.84 = 22,772.88/x
  3. Step 3: Cross multiply
    30,744x = 42,387.84 × 22,772.88
  4. Step 4: Simplify right side
    30,744x = 965,293,193.78
  5. Step 5: Solve for x
    x = 965,293,193.78/30,744
  6. Step 6: Final answer
    x = 31,397.77

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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.