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Finding the Fourth Proportional to 3,162.66, 4,742.16 and 1,311.66

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Solution

The fourth proportional to 3,162.66, 4,742.16 and 1,311.66 is: 1,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.66 : 4,742.16 = 1,311.66 : x
  2. Step 2: Convert to fraction form
    3,162.66/4,742.16 = 1,311.66/x
  3. Step 3: Cross multiply
    3,162.66x = 4,742.16 × 1,311.66
  4. Step 4: Simplify right side
    3,162.66x = 6,220,101.59
  5. Step 5: Solve for x
    x = 6,220,101.59/3,162.66
  6. Step 6: Final answer
    x = 1,966.73

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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.