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Finding the Fourth Proportional to 2,872.58, 3,964.01 and 1,677.69

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Solution

The fourth proportional to 2,872.58, 3,964.01 and 1,677.69 is: 2,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.58 : 3,964.01 = 1,677.69 : x
  2. Step 2: Convert to fraction form
    2,872.58/3,964.01 = 1,677.69/x
  3. Step 3: Cross multiply
    2,872.58x = 3,964.01 × 1,677.69
  4. Step 4: Simplify right side
    2,872.58x = 6,650,371.55
  5. Step 5: Solve for x
    x = 6,650,371.55/2,872.58
  6. Step 6: Final answer
    x = 2,315.13

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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.