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Finding the Fourth Proportional to 47,691.91, 65,814.88 and 28,582.79

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Solution

The fourth proportional to 47,691.91, 65,814.88 and 28,582.79 is: 39,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,691.91 : 65,814.88 = 28,582.79 : x
  2. Step 2: Convert to fraction form
    47,691.91/65,814.88 = 28,582.79/x
  3. Step 3: Cross multiply
    47,691.91x = 65,814.88 × 28,582.79
  4. Step 4: Simplify right side
    47,691.91x = 1,881,172,546.98
  5. Step 5: Solve for x
    x = 1,881,172,546.98/47,691.91
  6. Step 6: Final answer
    x = 39,444.27

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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.