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Finding the Fourth Proportional to 10,548.82, 15,815.35 and 6,387.82

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Solution

The fourth proportional to 10,548.82, 15,815.35 and 6,387.82 is: 9,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.82 : 15,815.35 = 6,387.82 : x
  2. Step 2: Convert to fraction form
    10,548.82/15,815.35 = 6,387.82/x
  3. Step 3: Cross multiply
    10,548.82x = 15,815.35 × 6,387.82
  4. Step 4: Simplify right side
    10,548.82x = 101,025,577.48
  5. Step 5: Solve for x
    x = 101,025,577.48/10,548.82
  6. Step 6: Final answer
    x = 9,576.95

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1.5x scale

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.