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Finding the Fourth Proportional to 8,486.28, 12,731.10 and 2,642.64

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Solution

The fourth proportional to 8,486.28, 12,731.10 and 2,642.64 is: 3,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.28 : 12,731.10 = 2,642.64 : x
  2. Step 2: Convert to fraction form
    8,486.28/12,731.10 = 2,642.64/x
  3. Step 3: Cross multiply
    8,486.28x = 12,731.10 × 2,642.64
  4. Step 4: Simplify right side
    8,486.28x = 33,643,714.10
  5. Step 5: Solve for x
    x = 33,643,714.10/8,486.28
  6. Step 6: Final answer
    x = 3,964.48

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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.