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Finding the Fourth Proportional to 3,868.84, 5,805.18 and 2,851.24

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Solution

The fourth proportional to 3,868.84, 5,805.18 and 2,851.24 is: 4,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.84 : 5,805.18 = 2,851.24 : x
  2. Step 2: Convert to fraction form
    3,868.84/5,805.18 = 2,851.24/x
  3. Step 3: Cross multiply
    3,868.84x = 5,805.18 × 2,851.24
  4. Step 4: Simplify right side
    3,868.84x = 16,551,961.42
  5. Step 5: Solve for x
    x = 16,551,961.42/3,868.84
  6. Step 6: Final answer
    x = 4,278.27

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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.