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Finding the Fourth Proportional to 2,507.78, 3,764.11 and 1,535.78

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Solution

The fourth proportional to 2,507.78, 3,764.11 and 1,535.78 is: 2,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.78 : 3,764.11 = 1,535.78 : x
  2. Step 2: Convert to fraction form
    2,507.78/3,764.11 = 1,535.78/x
  3. Step 3: Cross multiply
    2,507.78x = 3,764.11 × 1,535.78
  4. Step 4: Simplify right side
    2,507.78x = 5,780,844.86
  5. Step 5: Solve for x
    x = 5,780,844.86/2,507.78
  6. Step 6: Final answer
    x = 2,305.16

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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.