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Finding the Fourth Proportional to 11,591.81, 15,992.33 and 8,574.15

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Solution

The fourth proportional to 11,591.81, 15,992.33 and 8,574.15 is: 11,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.81 : 15,992.33 = 8,574.15 : x
  2. Step 2: Convert to fraction form
    11,591.81/15,992.33 = 8,574.15/x
  3. Step 3: Cross multiply
    11,591.81x = 15,992.33 × 8,574.15
  4. Step 4: Simplify right side
    11,591.81x = 137,120,593.40
  5. Step 5: Solve for x
    x = 137,120,593.40/11,591.81
  6. Step 6: Final answer
    x = 11,829.10

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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.