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Finding the Fourth Proportional to 11,505.68, 15,855.72 and 8,187.92

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Solution

The fourth proportional to 11,505.68, 15,855.72 and 8,187.92 is: 11,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.68 : 15,855.72 = 8,187.92 : x
  2. Step 2: Convert to fraction form
    11,505.68/15,855.72 = 8,187.92/x
  3. Step 3: Cross multiply
    11,505.68x = 15,855.72 × 8,187.92
  4. Step 4: Simplify right side
    11,505.68x = 129,825,366.90
  5. Step 5: Solve for x
    x = 129,825,366.90/11,505.68
  6. Step 6: Final answer
    x = 11,283.59

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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.