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Finding the Fourth Proportional to 5,129.34, 7,694.02 and 3,671.34

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Solution

The fourth proportional to 5,129.34, 7,694.02 and 3,671.34 is: 5,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.34 : 7,694.02 = 3,671.34 : x
  2. Step 2: Convert to fraction form
    5,129.34/7,694.02 = 3,671.34/x
  3. Step 3: Cross multiply
    5,129.34x = 7,694.02 × 3,671.34
  4. Step 4: Simplify right side
    5,129.34x = 28,247,363.39
  5. Step 5: Solve for x
    x = 28,247,363.39/5,129.34
  6. Step 6: Final answer
    x = 5,507.02

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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.