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Finding the Fourth Proportional to 9,540, 14,310.72 and 3,384

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Solution

The fourth proportional to 9,540, 14,310.72 and 3,384 is: 5,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540 : 14,310.72 = 3,384 : x
  2. Step 2: Convert to fraction form
    9,540/14,310.72 = 3,384/x
  3. Step 3: Cross multiply
    9,540x = 14,310.72 × 3,384
  4. Step 4: Simplify right side
    9,540x = 48,427,476.48
  5. Step 5: Solve for x
    x = 48,427,476.48/9,540
  6. Step 6: Final answer
    x = 5,076.26

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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.