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Finding the Fourth Proportional to 12,866.56, 17,755.92 and 7,277.44

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Solution

The fourth proportional to 12,866.56, 17,755.92 and 7,277.44 is: 10,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.56 : 17,755.92 = 7,277.44 : x
  2. Step 2: Convert to fraction form
    12,866.56/17,755.92 = 7,277.44/x
  3. Step 3: Cross multiply
    12,866.56x = 17,755.92 × 7,277.44
  4. Step 4: Simplify right side
    12,866.56x = 129,217,642.44
  5. Step 5: Solve for x
    x = 129,217,642.44/12,866.56
  6. Step 6: Final answer
    x = 10,042.91

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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.