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Finding the Fourth Proportional to 3,659.73, 5,050.38 and 1,981.10

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Solution

The fourth proportional to 3,659.73, 5,050.38 and 1,981.10 is: 2,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.73 : 5,050.38 = 1,981.10 : x
  2. Step 2: Convert to fraction form
    3,659.73/5,050.38 = 1,981.10/x
  3. Step 3: Cross multiply
    3,659.73x = 5,050.38 × 1,981.10
  4. Step 4: Simplify right side
    3,659.73x = 10,005,327.87
  5. Step 5: Solve for x
    x = 10,005,327.87/3,659.73
  6. Step 6: Final answer
    x = 2,733.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.