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Finding the Fourth Proportional to 7,635.12, 10,505.92 and 7,406.88

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Solution

The fourth proportional to 7,635.12, 10,505.92 and 7,406.88 is: 10,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.12 : 10,505.92 = 7,406.88 : x
  2. Step 2: Convert to fraction form
    7,635.12/10,505.92 = 7,406.88/x
  3. Step 3: Cross multiply
    7,635.12x = 10,505.92 × 7,406.88
  4. Step 4: Simplify right side
    7,635.12x = 77,816,088.73
  5. Step 5: Solve for x
    x = 77,816,088.73/7,635.12
  6. Step 6: Final answer
    x = 10,191.86

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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.