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Finding the Fourth Proportional to 7,711.34, 11,537.85 and 7,244.78

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Solution

The fourth proportional to 7,711.34, 11,537.85 and 7,244.78 is: 10,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.34 : 11,537.85 = 7,244.78 : x
  2. Step 2: Convert to fraction form
    7,711.34/11,537.85 = 7,244.78/x
  3. Step 3: Cross multiply
    7,711.34x = 11,537.85 × 7,244.78
  4. Step 4: Simplify right side
    7,711.34x = 83,589,213.77
  5. Step 5: Solve for x
    x = 83,589,213.77/7,711.34
  6. Step 6: Final answer
    x = 10,839.77

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1.5x scale

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.