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Finding the Fourth Proportional to 7,763.61, 11,640.87 and 3,079.79

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Solution

The fourth proportional to 7,763.61, 11,640.87 and 3,079.79 is: 4,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.61 : 11,640.87 = 3,079.79 : x
  2. Step 2: Convert to fraction form
    7,763.61/11,640.87 = 3,079.79/x
  3. Step 3: Cross multiply
    7,763.61x = 11,640.87 × 3,079.79
  4. Step 4: Simplify right side
    7,763.61x = 35,851,435.02
  5. Step 5: Solve for x
    x = 35,851,435.02/7,763.61
  6. Step 6: Final answer
    x = 4,617.88

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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.