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Finding the Fourth Proportional to 7,841.30, 11,771.97 and 6,737.78

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Solution

The fourth proportional to 7,841.30, 11,771.97 and 6,737.78 is: 10,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.30 : 11,771.97 = 6,737.78 : x
  2. Step 2: Convert to fraction form
    7,841.30/11,771.97 = 6,737.78/x
  3. Step 3: Cross multiply
    7,841.30x = 11,771.97 × 6,737.78
  4. Step 4: Simplify right side
    7,841.30x = 79,316,944.03
  5. Step 5: Solve for x
    x = 79,316,944.03/7,841.30
  6. Step 6: Final answer
    x = 10,115.28

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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.