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Finding the Fourth Proportional to 2,500.85, 3,750.39 and 857.01

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Solution

The fourth proportional to 2,500.85, 3,750.39 and 857.01 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.85 : 3,750.39 = 857.01 : x
  2. Step 2: Convert to fraction form
    2,500.85/3,750.39 = 857.01/x
  3. Step 3: Cross multiply
    2,500.85x = 3,750.39 × 857.01
  4. Step 4: Simplify right side
    2,500.85x = 3,214,121.73
  5. Step 5: Solve for x
    x = 3,214,121.73/2,500.85
  6. Step 6: Final answer
    x = 1,285.21

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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.