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Finding the Fourth Proportional to 7,164.50, 10,732.78 and 4,691.83

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Solution

The fourth proportional to 7,164.50, 10,732.78 and 4,691.83 is: 7,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.50 : 10,732.78 = 4,691.83 : x
  2. Step 2: Convert to fraction form
    7,164.50/10,732.78 = 4,691.83/x
  3. Step 3: Cross multiply
    7,164.50x = 10,732.78 × 4,691.83
  4. Step 4: Simplify right side
    7,164.50x = 50,356,328.90
  5. Step 5: Solve for x
    x = 50,356,328.90/7,164.50
  6. Step 6: Final answer
    x = 7,028.59

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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.