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Finding the Fourth Proportional to 10,473.72, 15,711 and 5,211.24

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Solution

The fourth proportional to 10,473.72, 15,711 and 5,211.24 is: 7,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.72 : 15,711 = 5,211.24 : x
  2. Step 2: Convert to fraction form
    10,473.72/15,711 = 5,211.24/x
  3. Step 3: Cross multiply
    10,473.72x = 15,711 × 5,211.24
  4. Step 4: Simplify right side
    10,473.72x = 81,873,791.64
  5. Step 5: Solve for x
    x = 81,873,791.64/10,473.72
  6. Step 6: Final answer
    x = 7,817.07

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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.