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Finding the Fourth Proportional to 27,720, 38,253.60 and 16,542

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Solution

The fourth proportional to 27,720, 38,253.60 and 16,542 is: 22,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 38,253.60 = 16,542 : x
  2. Step 2: Convert to fraction form
    27,720/38,253.60 = 16,542/x
  3. Step 3: Cross multiply
    27,720x = 38,253.60 × 16,542
  4. Step 4: Simplify right side
    27,720x = 632,791,051.20
  5. Step 5: Solve for x
    x = 632,791,051.20/27,720
  6. Step 6: Final answer
    x = 22,827.96

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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.