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Finding the Fourth Proportional to 21,242.88, 31,851.36 and 9,540

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Solution

The fourth proportional to 21,242.88, 31,851.36 and 9,540 is: 14,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.88 : 31,851.36 = 9,540 : x
  2. Step 2: Convert to fraction form
    21,242.88/31,851.36 = 9,540/x
  3. Step 3: Cross multiply
    21,242.88x = 31,851.36 × 9,540
  4. Step 4: Simplify right side
    21,242.88x = 303,861,974.40
  5. Step 5: Solve for x
    x = 303,861,974.40/21,242.88
  6. Step 6: Final answer
    x = 14,304.18

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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.