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Finding the Fourth Proportional to 2,500.25, 3,750.56 and 961.25

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Solution

The fourth proportional to 2,500.25, 3,750.56 and 961.25 is: 1,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.25 : 3,750.56 = 961.25 : x
  2. Step 2: Convert to fraction form
    2,500.25/3,750.56 = 961.25/x
  3. Step 3: Cross multiply
    2,500.25x = 3,750.56 × 961.25
  4. Step 4: Simplify right side
    2,500.25x = 3,605,225.80
  5. Step 5: Solve for x
    x = 3,605,225.80/2,500.25
  6. Step 6: Final answer
    x = 1,441.95

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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.