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Finding the Fourth Proportional to 3,689.89, 5,091.90 and 2,011.26

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Solution

The fourth proportional to 3,689.89, 5,091.90 and 2,011.26 is: 2,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.89 : 5,091.90 = 2,011.26 : x
  2. Step 2: Convert to fraction form
    3,689.89/5,091.90 = 2,011.26/x
  3. Step 3: Cross multiply
    3,689.89x = 5,091.90 × 2,011.26
  4. Step 4: Simplify right side
    3,689.89x = 10,241,141.16
  5. Step 5: Solve for x
    x = 10,241,141.16/3,689.89
  6. Step 6: Final answer
    x = 2,775.46

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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.