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Finding the Fourth Proportional to 2,013.21, 3,020.85 and 987.21

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Solution

The fourth proportional to 2,013.21, 3,020.85 and 987.21 is: 1,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.21 : 3,020.85 = 987.21 : x
  2. Step 2: Convert to fraction form
    2,013.21/3,020.85 = 987.21/x
  3. Step 3: Cross multiply
    2,013.21x = 3,020.85 × 987.21
  4. Step 4: Simplify right side
    2,013.21x = 2,982,213.33
  5. Step 5: Solve for x
    x = 2,982,213.33/2,013.21
  6. Step 6: Final answer
    x = 1,481.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.