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Finding the Fourth Proportional to 2,869.90, 4,304.90 and 789.89

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Solution

The fourth proportional to 2,869.90, 4,304.90 and 789.89 is: 1,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.90 : 4,304.90 = 789.89 : x
  2. Step 2: Convert to fraction form
    2,869.90/4,304.90 = 789.89/x
  3. Step 3: Cross multiply
    2,869.90x = 4,304.90 × 789.89
  4. Step 4: Simplify right side
    2,869.90x = 3,400,410.20
  5. Step 5: Solve for x
    x = 3,400,410.20/2,869.90
  6. Step 6: Final answer
    x = 1,184.85

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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.