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Finding the Fourth Proportional to 2,578.79, 3,869.42 and 1,191.44

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Solution

The fourth proportional to 2,578.79, 3,869.42 and 1,191.44 is: 1,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.79 : 3,869.42 = 1,191.44 : x
  2. Step 2: Convert to fraction form
    2,578.79/3,869.42 = 1,191.44/x
  3. Step 3: Cross multiply
    2,578.79x = 3,869.42 × 1,191.44
  4. Step 4: Simplify right side
    2,578.79x = 4,610,156.46
  5. Step 5: Solve for x
    x = 4,610,156.46/2,578.79
  6. Step 6: Final answer
    x = 1,787.72

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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.