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Finding the Fourth Proportional to 7,706, 10,634.24 and 4,169.20

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Solution

The fourth proportional to 7,706, 10,634.24 and 4,169.20 is: 5,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 10,634.24 = 4,169.20 : x
  2. Step 2: Convert to fraction form
    7,706/10,634.24 = 4,169.20/x
  3. Step 3: Cross multiply
    7,706x = 10,634.24 × 4,169.20
  4. Step 4: Simplify right side
    7,706x = 44,336,273.41
  5. Step 5: Solve for x
    x = 44,336,273.41/7,706
  6. Step 6: Final answer
    x = 5,753.47

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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.