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Finding the Fourth Proportional to 2,617.69, 3,926.90 and 768.55

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Solution

The fourth proportional to 2,617.69, 3,926.90 and 768.55 is: 1,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.69 : 3,926.90 = 768.55 : x
  2. Step 2: Convert to fraction form
    2,617.69/3,926.90 = 768.55/x
  3. Step 3: Cross multiply
    2,617.69x = 3,926.90 × 768.55
  4. Step 4: Simplify right side
    2,617.69x = 3,017,999.36
  5. Step 5: Solve for x
    x = 3,017,999.36/2,617.69
  6. Step 6: Final answer
    x = 1,152.92

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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.