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Finding the Fourth Proportional to 47,602.28, 65,691.24 and 28,739.54

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Solution

The fourth proportional to 47,602.28, 65,691.24 and 28,739.54 is: 39,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,602.28 : 65,691.24 = 28,739.54 : x
  2. Step 2: Convert to fraction form
    47,602.28/65,691.24 = 28,739.54/x
  3. Step 3: Cross multiply
    47,602.28x = 65,691.24 × 28,739.54
  4. Step 4: Simplify right side
    47,602.28x = 1,887,936,019.63
  5. Step 5: Solve for x
    x = 1,887,936,019.63/47,602.28
  6. Step 6: Final answer
    x = 39,660.62

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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.