Home / 2,209.90-3,314.63-749.02

Finding the Fourth Proportional to 2,209.90, 3,314.63 and 749.02

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Solution

The fourth proportional to 2,209.90, 3,314.63 and 749.02 is: 1,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.90 : 3,314.63 = 749.02 : x
  2. Step 2: Convert to fraction form
    2,209.90/3,314.63 = 749.02/x
  3. Step 3: Cross multiply
    2,209.90x = 3,314.63 × 749.02
  4. Step 4: Simplify right side
    2,209.90x = 2,482,713.54
  5. Step 5: Solve for x
    x = 2,482,713.54/2,209.90
  6. Step 6: Final answer
    x = 1,123.45

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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.