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Finding the Fourth Proportional to 8,141.64, 12,207 and 4,248.78

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Solution

The fourth proportional to 8,141.64, 12,207 and 4,248.78 is: 6,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.64 : 12,207 = 4,248.78 : x
  2. Step 2: Convert to fraction form
    8,141.64/12,207 = 4,248.78/x
  3. Step 3: Cross multiply
    8,141.64x = 12,207 × 4,248.78
  4. Step 4: Simplify right side
    8,141.64x = 51,864,857.46
  5. Step 5: Solve for x
    x = 51,864,857.46/8,141.64
  6. Step 6: Final answer
    x = 6,370.32

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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.