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Finding the Fourth Proportional to 2,586.22, 3,877.02 and 941.61

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Solution

The fourth proportional to 2,586.22, 3,877.02 and 941.61 is: 1,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.22 : 3,877.02 = 941.61 : x
  2. Step 2: Convert to fraction form
    2,586.22/3,877.02 = 941.61/x
  3. Step 3: Cross multiply
    2,586.22x = 3,877.02 × 941.61
  4. Step 4: Simplify right side
    2,586.22x = 3,650,640.80
  5. Step 5: Solve for x
    x = 3,650,640.80/2,586.22
  6. Step 6: Final answer
    x = 1,411.57

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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.