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Finding the Fourth Proportional to 10,344, 15,514.13 and 4,424.21

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Solution

The fourth proportional to 10,344, 15,514.13 and 4,424.21 is: 6,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344 : 15,514.13 = 4,424.21 : x
  2. Step 2: Convert to fraction form
    10,344/15,514.13 = 4,424.21/x
  3. Step 3: Cross multiply
    10,344x = 15,514.13 × 4,424.21
  4. Step 4: Simplify right side
    10,344x = 68,637,818.93
  5. Step 5: Solve for x
    x = 68,637,818.93/10,344
  6. Step 6: Final answer
    x = 6,635.52

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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.