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Finding the Fourth Proportional to 10,209.33, 15,224.13 and 9,401.49

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Solution

The fourth proportional to 10,209.33, 15,224.13 and 9,401.49 is: 14,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.33 : 15,224.13 = 9,401.49 : x
  2. Step 2: Convert to fraction form
    10,209.33/15,224.13 = 9,401.49/x
  3. Step 3: Cross multiply
    10,209.33x = 15,224.13 × 9,401.49
  4. Step 4: Simplify right side
    10,209.33x = 143,129,505.95
  5. Step 5: Solve for x
    x = 143,129,505.95/10,209.33
  6. Step 6: Final answer
    x = 14,019.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.