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Finding the Fourth Proportional to 13,663.50, 20,476.20 and 10,329

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Solution

The fourth proportional to 13,663.50, 20,476.20 and 10,329 is: 15,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.50 : 20,476.20 = 10,329 : x
  2. Step 2: Convert to fraction form
    13,663.50/20,476.20 = 10,329/x
  3. Step 3: Cross multiply
    13,663.50x = 20,476.20 × 10,329
  4. Step 4: Simplify right side
    13,663.50x = 211,498,669.80
  5. Step 5: Solve for x
    x = 211,498,669.80/13,663.50
  6. Step 6: Final answer
    x = 15,479.10

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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.