Home / 1,974.10-2,958.45-1,609.60

Finding the Fourth Proportional to 1,974.10, 2,958.45 and 1,609.60

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Solution

The fourth proportional to 1,974.10, 2,958.45 and 1,609.60 is: 2,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.10 : 2,958.45 = 1,609.60 : x
  2. Step 2: Convert to fraction form
    1,974.10/2,958.45 = 1,609.60/x
  3. Step 3: Cross multiply
    1,974.10x = 2,958.45 × 1,609.60
  4. Step 4: Simplify right side
    1,974.10x = 4,761,921.12
  5. Step 5: Solve for x
    x = 4,761,921.12/1,974.10
  6. Step 6: Final answer
    x = 2,412.20

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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.