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Finding the Fourth Proportional to 2,869.80, 4,304.70 and 789.80

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Solution

The fourth proportional to 2,869.80, 4,304.70 and 789.80 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.80 : 4,304.70 = 789.80 : x
  2. Step 2: Convert to fraction form
    2,869.80/4,304.70 = 789.80/x
  3. Step 3: Cross multiply
    2,869.80x = 4,304.70 × 789.80
  4. Step 4: Simplify right side
    2,869.80x = 3,399,852.06
  5. Step 5: Solve for x
    x = 3,399,852.06/2,869.80
  6. Step 6: Final answer
    x = 1,184.70

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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.