Home / 1,600.24-2,209-1,245.20

Finding the Fourth Proportional to 1,600.24, 2,209 and 1,245.20

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Solution

The fourth proportional to 1,600.24, 2,209 and 1,245.20 is: 1,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.24 : 2,209 = 1,245.20 : x
  2. Step 2: Convert to fraction form
    1,600.24/2,209 = 1,245.20/x
  3. Step 3: Cross multiply
    1,600.24x = 2,209 × 1,245.20
  4. Step 4: Simplify right side
    1,600.24x = 2,750,646.80
  5. Step 5: Solve for x
    x = 2,750,646.80/1,600.24
  6. Step 6: Final answer
    x = 1,718.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.