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Finding the Fourth Proportional to 2,107.95, 3,162.29 and 721.42

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Solution

The fourth proportional to 2,107.95, 3,162.29 and 721.42 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.95 : 3,162.29 = 721.42 : x
  2. Step 2: Convert to fraction form
    2,107.95/3,162.29 = 721.42/x
  3. Step 3: Cross multiply
    2,107.95x = 3,162.29 × 721.42
  4. Step 4: Simplify right side
    2,107.95x = 2,281,339.25
  5. Step 5: Solve for x
    x = 2,281,339.25/2,107.95
  6. Step 6: Final answer
    x = 1,082.25

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1.5x scale

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.