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Finding the Fourth Proportional to 3,609.27, 4,982.13 and 2,117.65

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Solution

The fourth proportional to 3,609.27, 4,982.13 and 2,117.65 is: 2,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.27 : 4,982.13 = 2,117.65 : x
  2. Step 2: Convert to fraction form
    3,609.27/4,982.13 = 2,117.65/x
  3. Step 3: Cross multiply
    3,609.27x = 4,982.13 × 2,117.65
  4. Step 4: Simplify right side
    3,609.27x = 10,550,407.59
  5. Step 5: Solve for x
    x = 10,550,407.59/3,609.27
  6. Step 6: Final answer
    x = 2,923.14

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1.5x scale

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.