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Finding the Fourth Proportional to 2,712.86, 4,069.28 and 764.81

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Solution

The fourth proportional to 2,712.86, 4,069.28 and 764.81 is: 1,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.86 : 4,069.28 = 764.81 : x
  2. Step 2: Convert to fraction form
    2,712.86/4,069.28 = 764.81/x
  3. Step 3: Cross multiply
    2,712.86x = 4,069.28 × 764.81
  4. Step 4: Simplify right side
    2,712.86x = 3,112,207.60
  5. Step 5: Solve for x
    x = 3,112,207.60/2,712.86
  6. Step 6: Final answer
    x = 1,147.21

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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.