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Finding the Fourth Proportional to 3,609.87, 4,981.65 and 2,117.82

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Solution

The fourth proportional to 3,609.87, 4,981.65 and 2,117.82 is: 2,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.87 : 4,981.65 = 2,117.82 : x
  2. Step 2: Convert to fraction form
    3,609.87/4,981.65 = 2,117.82/x
  3. Step 3: Cross multiply
    3,609.87x = 4,981.65 × 2,117.82
  4. Step 4: Simplify right side
    3,609.87x = 10,550,238.00
  5. Step 5: Solve for x
    x = 10,550,238.00/3,609.87
  6. Step 6: Final answer
    x = 2,922.61

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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.