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Finding the Fourth Proportional to 15,057.24, 20,780 and 8,343.16

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Solution

The fourth proportional to 15,057.24, 20,780 and 8,343.16 is: 11,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.24 : 20,780 = 8,343.16 : x
  2. Step 2: Convert to fraction form
    15,057.24/20,780 = 8,343.16/x
  3. Step 3: Cross multiply
    15,057.24x = 20,780 × 8,343.16
  4. Step 4: Simplify right side
    15,057.24x = 173,370,864.80
  5. Step 5: Solve for x
    x = 173,370,864.80/15,057.24
  6. Step 6: Final answer
    x = 11,514.12

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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.