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Finding the Fourth Proportional to 2,988.91, 4,122.78 and 1,928.03

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Solution

The fourth proportional to 2,988.91, 4,122.78 and 1,928.03 is: 2,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.91 : 4,122.78 = 1,928.03 : x
  2. Step 2: Convert to fraction form
    2,988.91/4,122.78 = 1,928.03/x
  3. Step 3: Cross multiply
    2,988.91x = 4,122.78 × 1,928.03
  4. Step 4: Simplify right side
    2,988.91x = 7,948,843.52
  5. Step 5: Solve for x
    x = 7,948,843.52/2,988.91
  6. Step 6: Final answer
    x = 2,659.45

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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.