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Finding the Fourth Proportional to 3,538.78, 5,309.07 and 2,079.16

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Solution

The fourth proportional to 3,538.78, 5,309.07 and 2,079.16 is: 3,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.78 : 5,309.07 = 2,079.16 : x
  2. Step 2: Convert to fraction form
    3,538.78/5,309.07 = 2,079.16/x
  3. Step 3: Cross multiply
    3,538.78x = 5,309.07 × 2,079.16
  4. Step 4: Simplify right side
    3,538.78x = 11,038,405.98
  5. Step 5: Solve for x
    x = 11,038,405.98/3,538.78
  6. Step 6: Final answer
    x = 3,119.27

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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.