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Finding the Fourth Proportional to 2,162.60, 3,242.70 and 862.60

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Solution

The fourth proportional to 2,162.60, 3,242.70 and 862.60 is: 1,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.60 : 3,242.70 = 862.60 : x
  2. Step 2: Convert to fraction form
    2,162.60/3,242.70 = 862.60/x
  3. Step 3: Cross multiply
    2,162.60x = 3,242.70 × 862.60
  4. Step 4: Simplify right side
    2,162.60x = 2,797,153.02
  5. Step 5: Solve for x
    x = 2,797,153.02/2,162.60
  6. Step 6: Final answer
    x = 1,293.42

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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.