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Finding the Fourth Proportional to 3,689.70, 5,091.21 and 2,117.49

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Solution

The fourth proportional to 3,689.70, 5,091.21 and 2,117.49 is: 2,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.70 : 5,091.21 = 2,117.49 : x
  2. Step 2: Convert to fraction form
    3,689.70/5,091.21 = 2,117.49/x
  3. Step 3: Cross multiply
    3,689.70x = 5,091.21 × 2,117.49
  4. Step 4: Simplify right side
    3,689.70x = 10,780,586.26
  5. Step 5: Solve for x
    x = 10,780,586.26/3,689.70
  6. Step 6: Final answer
    x = 2,921.81

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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.