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Finding the Fourth Proportional to 12,778.43, 17,633.84 and 7,112.88

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Solution

The fourth proportional to 12,778.43, 17,633.84 and 7,112.88 is: 9,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.43 : 17,633.84 = 7,112.88 : x
  2. Step 2: Convert to fraction form
    12,778.43/17,633.84 = 7,112.88/x
  3. Step 3: Cross multiply
    12,778.43x = 17,633.84 × 7,112.88
  4. Step 4: Simplify right side
    12,778.43x = 125,427,352.29
  5. Step 5: Solve for x
    x = 125,427,352.29/12,778.43
  6. Step 6: Final answer
    x = 9,815.56

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1.5x scale

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.