Home / 2,290.25-3,436.20-974.36

Finding the Fourth Proportional to 2,290.25, 3,436.20 and 974.36

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Solution

The fourth proportional to 2,290.25, 3,436.20 and 974.36 is: 1,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.25 : 3,436.20 = 974.36 : x
  2. Step 2: Convert to fraction form
    2,290.25/3,436.20 = 974.36/x
  3. Step 3: Cross multiply
    2,290.25x = 3,436.20 × 974.36
  4. Step 4: Simplify right side
    2,290.25x = 3,348,078.65
  5. Step 5: Solve for x
    x = 3,348,078.65/2,290.25
  6. Step 6: Final answer
    x = 1,461.89

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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.