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Finding the Fourth Proportional to 7,877.68, 10,861.11 and 6,456.13

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Solution

The fourth proportional to 7,877.68, 10,861.11 and 6,456.13 is: 8,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.68 : 10,861.11 = 6,456.13 : x
  2. Step 2: Convert to fraction form
    7,877.68/10,861.11 = 6,456.13/x
  3. Step 3: Cross multiply
    7,877.68x = 10,861.11 × 6,456.13
  4. Step 4: Simplify right side
    7,877.68x = 70,120,738.10
  5. Step 5: Solve for x
    x = 70,120,738.10/7,877.68
  6. Step 6: Final answer
    x = 8,901.19

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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.