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Finding the Fourth Proportional to 3,478.66, 5,218.00 and 1,631.07

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Solution

The fourth proportional to 3,478.66, 5,218.00 and 1,631.07 is: 2,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.66 : 5,218.00 = 1,631.07 : x
  2. Step 2: Convert to fraction form
    3,478.66/5,218.00 = 1,631.07/x
  3. Step 3: Cross multiply
    3,478.66x = 5,218.00 × 1,631.07
  4. Step 4: Simplify right side
    3,478.66x = 8,510,919.18
  5. Step 5: Solve for x
    x = 8,510,919.18/3,478.66
  6. Step 6: Final answer
    x = 2,446.61

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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.