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Finding the Fourth Proportional to 2,432.40, 3,640.20 and 1,459.20

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Solution

The fourth proportional to 2,432.40, 3,640.20 and 1,459.20 is: 2,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.40 : 3,640.20 = 1,459.20 : x
  2. Step 2: Convert to fraction form
    2,432.40/3,640.20 = 1,459.20/x
  3. Step 3: Cross multiply
    2,432.40x = 3,640.20 × 1,459.20
  4. Step 4: Simplify right side
    2,432.40x = 5,311,779.84
  5. Step 5: Solve for x
    x = 5,311,779.84/2,432.40
  6. Step 6: Final answer
    x = 2,183.76

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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.