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Finding the Fourth Proportional to 2,742.75, 3,785.00 and 1,500.75

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Solution

The fourth proportional to 2,742.75, 3,785.00 and 1,500.75 is: 2,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.75 : 3,785.00 = 1,500.75 : x
  2. Step 2: Convert to fraction form
    2,742.75/3,785.00 = 1,500.75/x
  3. Step 3: Cross multiply
    2,742.75x = 3,785.00 × 1,500.75
  4. Step 4: Simplify right side
    2,742.75x = 5,680,331.25
  5. Step 5: Solve for x
    x = 5,680,331.25/2,742.75
  6. Step 6: Final answer
    x = 2,071.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.