Home / 2,202.68-3,301.56-1,046

Finding the Fourth Proportional to 2,202.68, 3,301.56 and 1,046

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Solution

The fourth proportional to 2,202.68, 3,301.56 and 1,046 is: 1,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.68 : 3,301.56 = 1,046 : x
  2. Step 2: Convert to fraction form
    2,202.68/3,301.56 = 1,046/x
  3. Step 3: Cross multiply
    2,202.68x = 3,301.56 × 1,046
  4. Step 4: Simplify right side
    2,202.68x = 3,453,431.76
  5. Step 5: Solve for x
    x = 3,453,431.76/2,202.68
  6. Step 6: Final answer
    x = 1,567.83

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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.