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Finding the Fourth Proportional to 2,869.37, 4,304.10 and 789.36

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Solution

The fourth proportional to 2,869.37, 4,304.10 and 789.36 is: 1,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.37 : 4,304.10 = 789.36 : x
  2. Step 2: Convert to fraction form
    2,869.37/4,304.10 = 789.36/x
  3. Step 3: Cross multiply
    2,869.37x = 4,304.10 × 789.36
  4. Step 4: Simplify right side
    2,869.37x = 3,397,495.41
  5. Step 5: Solve for x
    x = 3,397,495.41/2,869.37
  6. Step 6: Final answer
    x = 1,184.05

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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.