Home / 1,422.40-2,135.20-1,099.20

Finding the Fourth Proportional to 1,422.40, 2,135.20 and 1,099.20

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Solution

The fourth proportional to 1,422.40, 2,135.20 and 1,099.20 is: 1,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.40 : 2,135.20 = 1,099.20 : x
  2. Step 2: Convert to fraction form
    1,422.40/2,135.20 = 1,099.20/x
  3. Step 3: Cross multiply
    1,422.40x = 2,135.20 × 1,099.20
  4. Step 4: Simplify right side
    1,422.40x = 2,347,011.84
  5. Step 5: Solve for x
    x = 2,347,011.84/1,422.40
  6. Step 6: Final answer
    x = 1,650.04

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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.