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Finding the Fourth Proportional to 5,129.66, 7,679.46 and 3,901.94

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Solution

The fourth proportional to 5,129.66, 7,679.46 and 3,901.94 is: 5,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.66 : 7,679.46 = 3,901.94 : x
  2. Step 2: Convert to fraction form
    5,129.66/7,679.46 = 3,901.94/x
  3. Step 3: Cross multiply
    5,129.66x = 7,679.46 × 3,901.94
  4. Step 4: Simplify right side
    5,129.66x = 29,964,792.15
  5. Step 5: Solve for x
    x = 29,964,792.15/5,129.66
  6. Step 6: Final answer
    x = 5,841.48

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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.