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Finding the Fourth Proportional to 2,869.65, 4,304.48 and 789.87

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Solution

The fourth proportional to 2,869.65, 4,304.48 and 789.87 is: 1,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.65 : 4,304.48 = 789.87 : x
  2. Step 2: Convert to fraction form
    2,869.65/4,304.48 = 789.87/x
  3. Step 3: Cross multiply
    2,869.65x = 4,304.48 × 789.87
  4. Step 4: Simplify right side
    2,869.65x = 3,399,991.81
  5. Step 5: Solve for x
    x = 3,399,991.81/2,869.65
  6. Step 6: Final answer
    x = 1,184.81

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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.