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Finding the Fourth Proportional to 47,691.52, 65,816.04 and 28,824.96

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Solution

The fourth proportional to 47,691.52, 65,816.04 and 28,824.96 is: 39,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.52 : 65,816.04 = 28,824.96 : x
  2. Step 2: Convert to fraction form
    47,691.52/65,816.04 = 28,824.96/x
  3. Step 3: Cross multiply
    47,691.52x = 65,816.04 × 28,824.96
  4. Step 4: Simplify right side
    47,691.52x = 1,897,144,720.36
  5. Step 5: Solve for x
    x = 1,897,144,720.36/47,691.52
  6. Step 6: Final answer
    x = 39,779.50

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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.