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Finding the Fourth Proportional to 15,306.88, 22,964.40 and 12,198.64

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Solution

The fourth proportional to 15,306.88, 22,964.40 and 12,198.64 is: 18,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306.88 : 22,964.40 = 12,198.64 : x
  2. Step 2: Convert to fraction form
    15,306.88/22,964.40 = 12,198.64/x
  3. Step 3: Cross multiply
    15,306.88x = 22,964.40 × 12,198.64
  4. Step 4: Simplify right side
    15,306.88x = 280,134,448.42
  5. Step 5: Solve for x
    x = 280,134,448.42/15,306.88
  6. Step 6: Final answer
    x = 18,301.21

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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.