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Finding the Fourth Proportional to 2,713.21, 4,069.08 and 764.95

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Solution

The fourth proportional to 2,713.21, 4,069.08 and 764.95 is: 1,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.21 : 4,069.08 = 764.95 : x
  2. Step 2: Convert to fraction form
    2,713.21/4,069.08 = 764.95/x
  3. Step 3: Cross multiply
    2,713.21x = 4,069.08 × 764.95
  4. Step 4: Simplify right side
    2,713.21x = 3,112,642.75
  5. Step 5: Solve for x
    x = 3,112,642.75/2,713.21
  6. Step 6: Final answer
    x = 1,147.22

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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.