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Finding the Fourth Proportional to 12,779, 17,634.88 and 8,956

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Solution

The fourth proportional to 12,779, 17,634.88 and 8,956 is: 12,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779 : 17,634.88 = 8,956 : x
  2. Step 2: Convert to fraction form
    12,779/17,634.88 = 8,956/x
  3. Step 3: Cross multiply
    12,779x = 17,634.88 × 8,956
  4. Step 4: Simplify right side
    12,779x = 157,937,985.28
  5. Step 5: Solve for x
    x = 157,937,985.28/12,779
  6. Step 6: Final answer
    x = 12,359.18

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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.