Home / 1,982.51-2,731.08-1,667.78

Finding the Fourth Proportional to 1,982.51, 2,731.08 and 1,667.78

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Solution

The fourth proportional to 1,982.51, 2,731.08 and 1,667.78 is: 2,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.51 : 2,731.08 = 1,667.78 : x
  2. Step 2: Convert to fraction form
    1,982.51/2,731.08 = 1,667.78/x
  3. Step 3: Cross multiply
    1,982.51x = 2,731.08 × 1,667.78
  4. Step 4: Simplify right side
    1,982.51x = 4,554,826.95
  5. Step 5: Solve for x
    x = 4,554,826.95/1,982.51
  6. Step 6: Final answer
    x = 2,297.51

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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.