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Finding the Fourth Proportional to 2,751.72, 4,125.02 and 1,019

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Solution

The fourth proportional to 2,751.72, 4,125.02 and 1,019 is: 1,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.72 : 4,125.02 = 1,019 : x
  2. Step 2: Convert to fraction form
    2,751.72/4,125.02 = 1,019/x
  3. Step 3: Cross multiply
    2,751.72x = 4,125.02 × 1,019
  4. Step 4: Simplify right side
    2,751.72x = 4,203,395.38
  5. Step 5: Solve for x
    x = 4,203,395.38/2,751.72
  6. Step 6: Final answer
    x = 1,527.55

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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.