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Finding the Fourth Proportional to 15,761.28, 21,751.68 and 9,048

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Solution

The fourth proportional to 15,761.28, 21,751.68 and 9,048 is: 12,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.28 : 21,751.68 = 9,048 : x
  2. Step 2: Convert to fraction form
    15,761.28/21,751.68 = 9,048/x
  3. Step 3: Cross multiply
    15,761.28x = 21,751.68 × 9,048
  4. Step 4: Simplify right side
    15,761.28x = 196,809,200.64
  5. Step 5: Solve for x
    x = 196,809,200.64/15,761.28
  6. Step 6: Final answer
    x = 12,486.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.