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Finding the Fourth Proportional to 11,591.40, 15,987.87 and 8,182.92

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Solution

The fourth proportional to 11,591.40, 15,987.87 and 8,182.92 is: 11,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.40 : 15,987.87 = 8,182.92 : x
  2. Step 2: Convert to fraction form
    11,591.40/15,987.87 = 8,182.92/x
  3. Step 3: Cross multiply
    11,591.40x = 15,987.87 × 8,182.92
  4. Step 4: Simplify right side
    11,591.40x = 130,827,461.18
  5. Step 5: Solve for x
    x = 130,827,461.18/11,591.40
  6. Step 6: Final answer
    x = 11,286.60

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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.