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Finding the Fourth Proportional to 11,415.68, 15,754.72 and 7,167.44

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Solution

The fourth proportional to 11,415.68, 15,754.72 and 7,167.44 is: 9,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.68 : 15,754.72 = 7,167.44 : x
  2. Step 2: Convert to fraction form
    11,415.68/15,754.72 = 7,167.44/x
  3. Step 3: Cross multiply
    11,415.68x = 15,754.72 × 7,167.44
  4. Step 4: Simplify right side
    11,415.68x = 112,921,010.32
  5. Step 5: Solve for x
    x = 112,921,010.32/11,415.68
  6. Step 6: Final answer
    x = 9,891.75

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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.