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Finding the Fourth Proportional to 2,505.41, 3,757.65 and 945.55

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Solution

The fourth proportional to 2,505.41, 3,757.65 and 945.55 is: 1,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.41 : 3,757.65 = 945.55 : x
  2. Step 2: Convert to fraction form
    2,505.41/3,757.65 = 945.55/x
  3. Step 3: Cross multiply
    2,505.41x = 3,757.65 × 945.55
  4. Step 4: Simplify right side
    2,505.41x = 3,553,045.96
  5. Step 5: Solve for x
    x = 3,553,045.96/2,505.41
  6. Step 6: Final answer
    x = 1,418.15

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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.