Home / 2,122.16-3,182.20-735.57

Finding the Fourth Proportional to 2,122.16, 3,182.20 and 735.57

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Solution

The fourth proportional to 2,122.16, 3,182.20 and 735.57 is: 1,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.16 : 3,182.20 = 735.57 : x
  2. Step 2: Convert to fraction form
    2,122.16/3,182.20 = 735.57/x
  3. Step 3: Cross multiply
    2,122.16x = 3,182.20 × 735.57
  4. Step 4: Simplify right side
    2,122.16x = 2,340,730.85
  5. Step 5: Solve for x
    x = 2,340,730.85/2,122.16
  6. Step 6: Final answer
    x = 1,103.00

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1.5x scale

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.