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Finding the Fourth Proportional to 8,642.16, 12,963.72 and 2,486

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Solution

The fourth proportional to 8,642.16, 12,963.72 and 2,486 is: 3,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.16 : 12,963.72 = 2,486 : x
  2. Step 2: Convert to fraction form
    8,642.16/12,963.72 = 2,486/x
  3. Step 3: Cross multiply
    8,642.16x = 12,963.72 × 2,486
  4. Step 4: Simplify right side
    8,642.16x = 32,227,807.92
  5. Step 5: Solve for x
    x = 32,227,807.92/8,642.16
  6. Step 6: Final answer
    x = 3,729.14

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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.