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Finding the Fourth Proportional to 5,100.44, 7,648.90 and 1,979.71

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Solution

The fourth proportional to 5,100.44, 7,648.90 and 1,979.71 is: 2,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.44 : 7,648.90 = 1,979.71 : x
  2. Step 2: Convert to fraction form
    5,100.44/7,648.90 = 1,979.71/x
  3. Step 3: Cross multiply
    5,100.44x = 7,648.90 × 1,979.71
  4. Step 4: Simplify right side
    5,100.44x = 15,142,579.75
  5. Step 5: Solve for x
    x = 15,142,579.75/5,100.44
  6. Step 6: Final answer
    x = 2,968.88

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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.