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Finding the Fourth Proportional to 6,863.76, 10,287.54 and 2,477.88

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Solution

The fourth proportional to 6,863.76, 10,287.54 and 2,477.88 is: 3,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.76 : 10,287.54 = 2,477.88 : x
  2. Step 2: Convert to fraction form
    6,863.76/10,287.54 = 2,477.88/x
  3. Step 3: Cross multiply
    6,863.76x = 10,287.54 × 2,477.88
  4. Step 4: Simplify right side
    6,863.76x = 25,491,289.62
  5. Step 5: Solve for x
    x = 25,491,289.62/6,863.76
  6. Step 6: Final answer
    x = 3,713.90

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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.