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Finding the Fourth Proportional to 3,230.76, 4,844.66 and 1,281.64

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Solution

The fourth proportional to 3,230.76, 4,844.66 and 1,281.64 is: 1,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.76 : 4,844.66 = 1,281.64 : x
  2. Step 2: Convert to fraction form
    3,230.76/4,844.66 = 1,281.64/x
  3. Step 3: Cross multiply
    3,230.76x = 4,844.66 × 1,281.64
  4. Step 4: Simplify right side
    3,230.76x = 6,209,110.04
  5. Step 5: Solve for x
    x = 6,209,110.04/3,230.76
  6. Step 6: Final answer
    x = 1,921.87

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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.