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Finding the Fourth Proportional to 3,758.75, 5,638.13 and 1,022.75

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Solution

The fourth proportional to 3,758.75, 5,638.13 and 1,022.75 is: 1,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.75 : 5,638.13 = 1,022.75 : x
  2. Step 2: Convert to fraction form
    3,758.75/5,638.13 = 1,022.75/x
  3. Step 3: Cross multiply
    3,758.75x = 5,638.13 × 1,022.75
  4. Step 4: Simplify right side
    3,758.75x = 5,766,397.46
  5. Step 5: Solve for x
    x = 5,766,397.46/3,758.75
  6. Step 6: Final answer
    x = 1,534.13

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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.