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Finding the Fourth Proportional to 11,367, 15,686.46 and 7,178.76

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Solution

The fourth proportional to 11,367, 15,686.46 and 7,178.76 is: 9,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367 : 15,686.46 = 7,178.76 : x
  2. Step 2: Convert to fraction form
    11,367/15,686.46 = 7,178.76/x
  3. Step 3: Cross multiply
    11,367x = 15,686.46 × 7,178.76
  4. Step 4: Simplify right side
    11,367x = 112,609,331.59
  5. Step 5: Solve for x
    x = 112,609,331.59/11,367
  6. Step 6: Final answer
    x = 9,906.69

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Double scale
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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.