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Finding the Fourth Proportional to 7,151.70, 10,728.58 and 2,711

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Solution

The fourth proportional to 7,151.70, 10,728.58 and 2,711 is: 4,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.70 : 10,728.58 = 2,711 : x
  2. Step 2: Convert to fraction form
    7,151.70/10,728.58 = 2,711/x
  3. Step 3: Cross multiply
    7,151.70x = 10,728.58 × 2,711
  4. Step 4: Simplify right side
    7,151.70x = 29,085,180.38
  5. Step 5: Solve for x
    x = 29,085,180.38/7,151.70
  6. Step 6: Final answer
    x = 4,066.89

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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.