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Finding the Fourth Proportional to 47,877, 71,815.50 and 12,815.79

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Solution

The fourth proportional to 47,877, 71,815.50 and 12,815.79 is: 19,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,877 : 71,815.50 = 12,815.79 : x
  2. Step 2: Convert to fraction form
    47,877/71,815.50 = 12,815.79/x
  3. Step 3: Cross multiply
    47,877x = 71,815.50 × 12,815.79
  4. Step 4: Simplify right side
    47,877x = 920,372,366.75
  5. Step 5: Solve for x
    x = 920,372,366.75/47,877
  6. Step 6: Final answer
    x = 19,223.69

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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.