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Finding the Fourth Proportional to 12,387.99, 18,587.19 and 7,711.91

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Solution

The fourth proportional to 12,387.99, 18,587.19 and 7,711.91 is: 11,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.99 : 18,587.19 = 7,711.91 : x
  2. Step 2: Convert to fraction form
    12,387.99/18,587.19 = 7,711.91/x
  3. Step 3: Cross multiply
    12,387.99x = 18,587.19 × 7,711.91
  4. Step 4: Simplify right side
    12,387.99x = 143,342,736.43
  5. Step 5: Solve for x
    x = 143,342,736.43/12,387.99
  6. Step 6: Final answer
    x = 11,571.11

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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.