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Finding the Fourth Proportional to 8,123.10, 11,387.70 and 8,123.10

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Solution

The fourth proportional to 8,123.10, 11,387.70 and 8,123.10 is: 11,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.10 : 11,387.70 = 8,123.10 : x
  2. Step 2: Convert to fraction form
    8,123.10/11,387.70 = 8,123.10/x
  3. Step 3: Cross multiply
    8,123.10x = 11,387.70 × 8,123.10
  4. Step 4: Simplify right side
    8,123.10x = 92,503,425.87
  5. Step 5: Solve for x
    x = 92,503,425.87/8,123.10
  6. Step 6: Final answer
    x = 11,387.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.