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Finding the Fourth Proportional to 12,358.71, 17,049.15 and 9,000

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Solution

The fourth proportional to 12,358.71, 17,049.15 and 9,000 is: 12,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.71 : 17,049.15 = 9,000 : x
  2. Step 2: Convert to fraction form
    12,358.71/17,049.15 = 9,000/x
  3. Step 3: Cross multiply
    12,358.71x = 17,049.15 × 9,000
  4. Step 4: Simplify right side
    12,358.71x = 153,442,350
  5. Step 5: Solve for x
    x = 153,442,350/12,358.71
  6. Step 6: Final answer
    x = 12,415.73

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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.