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Finding the Fourth Proportional to 2,581.70, 3,872.55 and 850.10

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Solution

The fourth proportional to 2,581.70, 3,872.55 and 850.10 is: 1,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.70 : 3,872.55 = 850.10 : x
  2. Step 2: Convert to fraction form
    2,581.70/3,872.55 = 850.10/x
  3. Step 3: Cross multiply
    2,581.70x = 3,872.55 × 850.10
  4. Step 4: Simplify right side
    2,581.70x = 3,292,054.76
  5. Step 5: Solve for x
    x = 3,292,054.76/2,581.70
  6. Step 6: Final answer
    x = 1,275.15

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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.