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Finding the Fourth Proportional to 2,099.52, 3,147.06 and 711.60

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Solution

The fourth proportional to 2,099.52, 3,147.06 and 711.60 is: 1,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.52 : 3,147.06 = 711.60 : x
  2. Step 2: Convert to fraction form
    2,099.52/3,147.06 = 711.60/x
  3. Step 3: Cross multiply
    2,099.52x = 3,147.06 × 711.60
  4. Step 4: Simplify right side
    2,099.52x = 2,239,447.90
  5. Step 5: Solve for x
    x = 2,239,447.90/2,099.52
  6. Step 6: Final answer
    x = 1,066.65

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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.