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Finding the Fourth Proportional to 2,656.81, 3,985.21 and 1,195.57

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Solution

The fourth proportional to 2,656.81, 3,985.21 and 1,195.57 is: 1,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.81 : 3,985.21 = 1,195.57 : x
  2. Step 2: Convert to fraction form
    2,656.81/3,985.21 = 1,195.57/x
  3. Step 3: Cross multiply
    2,656.81x = 3,985.21 × 1,195.57
  4. Step 4: Simplify right side
    2,656.81x = 4,764,597.52
  5. Step 5: Solve for x
    x = 4,764,597.52/2,656.81
  6. Step 6: Final answer
    x = 1,793.35

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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.