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Finding the Fourth Proportional to 11,691.70, 16,125.62 and 7,443.44

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Solution

The fourth proportional to 11,691.70, 16,125.62 and 7,443.44 is: 10,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.70 : 16,125.62 = 7,443.44 : x
  2. Step 2: Convert to fraction form
    11,691.70/16,125.62 = 7,443.44/x
  3. Step 3: Cross multiply
    11,691.70x = 16,125.62 × 7,443.44
  4. Step 4: Simplify right side
    11,691.70x = 120,030,084.93
  5. Step 5: Solve for x
    x = 120,030,084.93/11,691.70
  6. Step 6: Final answer
    x = 10,266.26

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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.