Home / 2,209.24-3,314.02-747.80

Finding the Fourth Proportional to 2,209.24, 3,314.02 and 747.80

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Solution

The fourth proportional to 2,209.24, 3,314.02 and 747.80 is: 1,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.24 : 3,314.02 = 747.80 : x
  2. Step 2: Convert to fraction form
    2,209.24/3,314.02 = 747.80/x
  3. Step 3: Cross multiply
    2,209.24x = 3,314.02 × 747.80
  4. Step 4: Simplify right side
    2,209.24x = 2,478,224.16
  5. Step 5: Solve for x
    x = 2,478,224.16/2,209.24
  6. Step 6: Final answer
    x = 1,121.75

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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.