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Finding the Fourth Proportional to 3,409.67, 5,109.63 and 2,713.20

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Solution

The fourth proportional to 3,409.67, 5,109.63 and 2,713.20 is: 4,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.67 : 5,109.63 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    3,409.67/5,109.63 = 2,713.20/x
  3. Step 3: Cross multiply
    3,409.67x = 5,109.63 × 2,713.20
  4. Step 4: Simplify right side
    3,409.67x = 13,863,448.12
  5. Step 5: Solve for x
    x = 13,863,448.12/3,409.67
  6. Step 6: Final answer
    x = 4,065.92

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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.