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Finding the Fourth Proportional to 2,836.97, 4,250.75 and 987.09

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Solution

The fourth proportional to 2,836.97, 4,250.75 and 987.09 is: 1,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.97 : 4,250.75 = 987.09 : x
  2. Step 2: Convert to fraction form
    2,836.97/4,250.75 = 987.09/x
  3. Step 3: Cross multiply
    2,836.97x = 4,250.75 × 987.09
  4. Step 4: Simplify right side
    2,836.97x = 4,195,860.27
  5. Step 5: Solve for x
    x = 4,195,860.27/2,836.97
  6. Step 6: Final answer
    x = 1,478.99

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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.