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Finding the Fourth Proportional to 4,305.78, 5,942.10 and 2,538.90

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Solution

The fourth proportional to 4,305.78, 5,942.10 and 2,538.90 is: 3,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.78 : 5,942.10 = 2,538.90 : x
  2. Step 2: Convert to fraction form
    4,305.78/5,942.10 = 2,538.90/x
  3. Step 3: Cross multiply
    4,305.78x = 5,942.10 × 2,538.90
  4. Step 4: Simplify right side
    4,305.78x = 15,086,397.69
  5. Step 5: Solve for x
    x = 15,086,397.69/4,305.78
  6. Step 6: Final answer
    x = 3,503.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.