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Finding the Fourth Proportional to 11,415.68, 15,731.52 and 8,097.92

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Solution

The fourth proportional to 11,415.68, 15,731.52 and 8,097.92 is: 11,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.68 : 15,731.52 = 8,097.92 : x
  2. Step 2: Convert to fraction form
    11,415.68/15,731.52 = 8,097.92/x
  3. Step 3: Cross multiply
    11,415.68x = 15,731.52 × 8,097.92
  4. Step 4: Simplify right side
    11,415.68x = 127,392,590.44
  5. Step 5: Solve for x
    x = 127,392,590.44/11,415.68
  6. Step 6: Final answer
    x = 11,159.44

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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.