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Finding the Fourth Proportional to 2,751.40, 4,125.27 and 901.87

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Solution

The fourth proportional to 2,751.40, 4,125.27 and 901.87 is: 1,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.40 : 4,125.27 = 901.87 : x
  2. Step 2: Convert to fraction form
    2,751.40/4,125.27 = 901.87/x
  3. Step 3: Cross multiply
    2,751.40x = 4,125.27 × 901.87
  4. Step 4: Simplify right side
    2,751.40x = 3,720,446.94
  5. Step 5: Solve for x
    x = 3,720,446.94/2,751.40
  6. Step 6: Final answer
    x = 1,352.20

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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.