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Finding the Fourth Proportional to 40,486, 55,878.24 and 23,719

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Solution

The fourth proportional to 40,486, 55,878.24 and 23,719 is: 32,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,486 : 55,878.24 = 23,719 : x
  2. Step 2: Convert to fraction form
    40,486/55,878.24 = 23,719/x
  3. Step 3: Cross multiply
    40,486x = 55,878.24 × 23,719
  4. Step 4: Simplify right side
    40,486x = 1,325,375,974.56
  5. Step 5: Solve for x
    x = 1,325,375,974.56/40,486
  6. Step 6: Final answer
    x = 32,736.65

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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.