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Finding the Fourth Proportional to 2,712.67, 4,068.80 and 764.62

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Solution

The fourth proportional to 2,712.67, 4,068.80 and 764.62 is: 1,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.67 : 4,068.80 = 764.62 : x
  2. Step 2: Convert to fraction form
    2,712.67/4,068.80 = 764.62/x
  3. Step 3: Cross multiply
    2,712.67x = 4,068.80 × 764.62
  4. Step 4: Simplify right side
    2,712.67x = 3,111,074.73
  5. Step 5: Solve for x
    x = 3,111,074.73/2,712.67
  6. Step 6: Final answer
    x = 1,146.87

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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.