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Finding the Fourth Proportional to 47,866.30, 71,793.98 and 12,808.68

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Solution

The fourth proportional to 47,866.30, 71,793.98 and 12,808.68 is: 19,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,866.30 : 71,793.98 = 12,808.68 : x
  2. Step 2: Convert to fraction form
    47,866.30/71,793.98 = 12,808.68/x
  3. Step 3: Cross multiply
    47,866.30x = 71,793.98 × 12,808.68
  4. Step 4: Simplify right side
    47,866.30x = 919,586,115.75
  5. Step 5: Solve for x
    x = 919,586,115.75/47,866.30
  6. Step 6: Final answer
    x = 19,211.56

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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.