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Finding the Fourth Proportional to 14,472.38, 19,971.20 and 8,099.78

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Solution

The fourth proportional to 14,472.38, 19,971.20 and 8,099.78 is: 11,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.38 : 19,971.20 = 8,099.78 : x
  2. Step 2: Convert to fraction form
    14,472.38/19,971.20 = 8,099.78/x
  3. Step 3: Cross multiply
    14,472.38x = 19,971.20 × 8,099.78
  4. Step 4: Simplify right side
    14,472.38x = 161,762,185.98
  5. Step 5: Solve for x
    x = 161,762,185.98/14,472.38
  6. Step 6: Final answer
    x = 11,177.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.