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Finding the Fourth Proportional to 2,505.88, 3,757.81 and 750.27

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Solution

The fourth proportional to 2,505.88, 3,757.81 and 750.27 is: 1,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.88 : 3,757.81 = 750.27 : x
  2. Step 2: Convert to fraction form
    2,505.88/3,757.81 = 750.27/x
  3. Step 3: Cross multiply
    2,505.88x = 3,757.81 × 750.27
  4. Step 4: Simplify right side
    2,505.88x = 2,819,372.11
  5. Step 5: Solve for x
    x = 2,819,372.11/2,505.88
  6. Step 6: Final answer
    x = 1,125.10

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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.