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Finding the Fourth Proportional to 57,581.84, 86,343.24 and 26,390

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Solution

The fourth proportional to 57,581.84, 86,343.24 and 26,390 is: 39,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,581.84 : 86,343.24 = 26,390 : x
  2. Step 2: Convert to fraction form
    57,581.84/86,343.24 = 26,390/x
  3. Step 3: Cross multiply
    57,581.84x = 86,343.24 × 26,390
  4. Step 4: Simplify right side
    57,581.84x = 2,278,598,103.60
  5. Step 5: Solve for x
    x = 2,278,598,103.60/57,581.84
  6. Step 6: Final answer
    x = 39,571.47

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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.