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Finding the Fourth Proportional to 10,471.87, 15,712.47 and 5,212.14

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Solution

The fourth proportional to 10,471.87, 15,712.47 and 5,212.14 is: 7,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.87 : 15,712.47 = 5,212.14 : x
  2. Step 2: Convert to fraction form
    10,471.87/15,712.47 = 5,212.14/x
  3. Step 3: Cross multiply
    10,471.87x = 15,712.47 × 5,212.14
  4. Step 4: Simplify right side
    10,471.87x = 81,895,488.76
  5. Step 5: Solve for x
    x = 81,895,488.76/10,471.87
  6. Step 6: Final answer
    x = 7,820.52

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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.