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Finding the Fourth Proportional to 27,129.60, 40,640.40 and 23,882.40

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Solution

The fourth proportional to 27,129.60, 40,640.40 and 23,882.40 is: 35,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.60 : 40,640.40 = 23,882.40 : x
  2. Step 2: Convert to fraction form
    27,129.60/40,640.40 = 23,882.40/x
  3. Step 3: Cross multiply
    27,129.60x = 40,640.40 × 23,882.40
  4. Step 4: Simplify right side
    27,129.60x = 970,590,288.96
  5. Step 5: Solve for x
    x = 970,590,288.96/27,129.60
  6. Step 6: Final answer
    x = 35,776.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.