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Finding the Fourth Proportional to 15,158, 20,920.08 and 9,192

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Solution

The fourth proportional to 15,158, 20,920.08 and 9,192 is: 12,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,158 : 20,920.08 = 9,192 : x
  2. Step 2: Convert to fraction form
    15,158/20,920.08 = 9,192/x
  3. Step 3: Cross multiply
    15,158x = 20,920.08 × 9,192
  4. Step 4: Simplify right side
    15,158x = 192,297,375.36
  5. Step 5: Solve for x
    x = 192,297,375.36/15,158
  6. Step 6: Final answer
    x = 12,686.20

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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.