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Finding the Fourth Proportional to 2,650.85, 3,972.52 and 1,952.04

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Solution

The fourth proportional to 2,650.85, 3,972.52 and 1,952.04 is: 2,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.85 : 3,972.52 = 1,952.04 : x
  2. Step 2: Convert to fraction form
    2,650.85/3,972.52 = 1,952.04/x
  3. Step 3: Cross multiply
    2,650.85x = 3,972.52 × 1,952.04
  4. Step 4: Simplify right side
    2,650.85x = 7,754,513.06
  5. Step 5: Solve for x
    x = 7,754,513.06/2,650.85
  6. Step 6: Final answer
    x = 2,925.29

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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.