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Finding the Fourth Proportional to 11,177.70, 15,420.17 and 8,942.70

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Solution

The fourth proportional to 11,177.70, 15,420.17 and 8,942.70 is: 12,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.70 : 15,420.17 = 8,942.70 : x
  2. Step 2: Convert to fraction form
    11,177.70/15,420.17 = 8,942.70/x
  3. Step 3: Cross multiply
    11,177.70x = 15,420.17 × 8,942.70
  4. Step 4: Simplify right side
    11,177.70x = 137,898,034.44
  5. Step 5: Solve for x
    x = 137,898,034.44/11,177.70
  6. Step 6: Final answer
    x = 12,336.89

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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.