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Finding the Fourth Proportional to 6,861.56, 9,468.78 and 3,877.70

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Solution

The fourth proportional to 6,861.56, 9,468.78 and 3,877.70 is: 5,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.56 : 9,468.78 = 3,877.70 : x
  2. Step 2: Convert to fraction form
    6,861.56/9,468.78 = 3,877.70/x
  3. Step 3: Cross multiply
    6,861.56x = 9,468.78 × 3,877.70
  4. Step 4: Simplify right side
    6,861.56x = 36,717,088.21
  5. Step 5: Solve for x
    x = 36,717,088.21/6,861.56
  6. Step 6: Final answer
    x = 5,351.13

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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.