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Finding the Fourth Proportional to 2,512.50, 3,773.07 and 2,283.54

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Solution

The fourth proportional to 2,512.50, 3,773.07 and 2,283.54 is: 3,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.50 : 3,773.07 = 2,283.54 : x
  2. Step 2: Convert to fraction form
    2,512.50/3,773.07 = 2,283.54/x
  3. Step 3: Cross multiply
    2,512.50x = 3,773.07 × 2,283.54
  4. Step 4: Simplify right side
    2,512.50x = 8,615,956.27
  5. Step 5: Solve for x
    x = 8,615,956.27/2,512.50
  6. Step 6: Final answer
    x = 3,429.24

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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.