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Finding the Fourth Proportional to 2,281.87, 3,423.26 and 722.11

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Solution

The fourth proportional to 2,281.87, 3,423.26 and 722.11 is: 1,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.87 : 3,423.26 = 722.11 : x
  2. Step 2: Convert to fraction form
    2,281.87/3,423.26 = 722.11/x
  3. Step 3: Cross multiply
    2,281.87x = 3,423.26 × 722.11
  4. Step 4: Simplify right side
    2,281.87x = 2,471,970.28
  5. Step 5: Solve for x
    x = 2,471,970.28/2,281.87
  6. Step 6: Final answer
    x = 1,083.31

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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.