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Finding the Fourth Proportional to 28,513, 42,787.32 and 13,723.48

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Solution

The fourth proportional to 28,513, 42,787.32 and 13,723.48 is: 20,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,513 : 42,787.32 = 13,723.48 : x
  2. Step 2: Convert to fraction form
    28,513/42,787.32 = 13,723.48/x
  3. Step 3: Cross multiply
    28,513x = 42,787.32 × 13,723.48
  4. Step 4: Simplify right side
    28,513x = 587,190,930.27
  5. Step 5: Solve for x
    x = 587,190,930.27/28,513
  6. Step 6: Final answer
    x = 20,593.80

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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.