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Finding the Fourth Proportional to 2,205.91, 3,308.17 and 974.35

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Solution

The fourth proportional to 2,205.91, 3,308.17 and 974.35 is: 1,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.91 : 3,308.17 = 974.35 : x
  2. Step 2: Convert to fraction form
    2,205.91/3,308.17 = 974.35/x
  3. Step 3: Cross multiply
    2,205.91x = 3,308.17 × 974.35
  4. Step 4: Simplify right side
    2,205.91x = 3,223,315.44
  5. Step 5: Solve for x
    x = 3,223,315.44/2,205.91
  6. Step 6: Final answer
    x = 1,461.22

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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.