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Finding the Fourth Proportional to 3,981.74, 5,494 and 2,302.53

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Solution

The fourth proportional to 3,981.74, 5,494 and 2,302.53 is: 3,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.74 : 5,494 = 2,302.53 : x
  2. Step 2: Convert to fraction form
    3,981.74/5,494 = 2,302.53/x
  3. Step 3: Cross multiply
    3,981.74x = 5,494 × 2,302.53
  4. Step 4: Simplify right side
    3,981.74x = 12,650,099.82
  5. Step 5: Solve for x
    x = 12,650,099.82/3,981.74
  6. Step 6: Final answer
    x = 3,177.03

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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.