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Finding the Fourth Proportional to 2,667.15, 4,002.48 and 935.78

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Solution

The fourth proportional to 2,667.15, 4,002.48 and 935.78 is: 1,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.15 : 4,002.48 = 935.78 : x
  2. Step 2: Convert to fraction form
    2,667.15/4,002.48 = 935.78/x
  3. Step 3: Cross multiply
    2,667.15x = 4,002.48 × 935.78
  4. Step 4: Simplify right side
    2,667.15x = 3,745,420.72
  5. Step 5: Solve for x
    x = 3,745,420.72/2,667.15
  6. Step 6: Final answer
    x = 1,404.28

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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.