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Finding the Fourth Proportional to 3,981, 5,493.62 and 2,302.94

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Solution

The fourth proportional to 3,981, 5,493.62 and 2,302.94 is: 3,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981 : 5,493.62 = 2,302.94 : x
  2. Step 2: Convert to fraction form
    3,981/5,493.62 = 2,302.94/x
  3. Step 3: Cross multiply
    3,981x = 5,493.62 × 2,302.94
  4. Step 4: Simplify right side
    3,981x = 12,651,477.24
  5. Step 5: Solve for x
    x = 12,651,477.24/3,981
  6. Step 6: Final answer
    x = 3,177.96

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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.