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Finding the Fourth Proportional to 47,711, 71,566.53 and 14,879

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Solution

The fourth proportional to 47,711, 71,566.53 and 14,879 is: 22,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711 : 71,566.53 = 14,879 : x
  2. Step 2: Convert to fraction form
    47,711/71,566.53 = 14,879/x
  3. Step 3: Cross multiply
    47,711x = 71,566.53 × 14,879
  4. Step 4: Simplify right side
    47,711x = 1,064,838,399.87
  5. Step 5: Solve for x
    x = 1,064,838,399.87/47,711
  6. Step 6: Final answer
    x = 22,318.51

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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.