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Finding the Fourth Proportional to 10,472.45, 15,710.99 and 3,454.63

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Solution

The fourth proportional to 10,472.45, 15,710.99 and 3,454.63 is: 5,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.45 : 15,710.99 = 3,454.63 : x
  2. Step 2: Convert to fraction form
    10,472.45/15,710.99 = 3,454.63/x
  3. Step 3: Cross multiply
    10,472.45x = 15,710.99 × 3,454.63
  4. Step 4: Simplify right side
    10,472.45x = 54,275,600.83
  5. Step 5: Solve for x
    x = 54,275,600.83/10,472.45
  6. Step 6: Final answer
    x = 5,182.71

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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.