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Finding the Fourth Proportional to 2,948.82, 4,069.38 and 1,769.90

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Solution

The fourth proportional to 2,948.82, 4,069.38 and 1,769.90 is: 2,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.82 : 4,069.38 = 1,769.90 : x
  2. Step 2: Convert to fraction form
    2,948.82/4,069.38 = 1,769.90/x
  3. Step 3: Cross multiply
    2,948.82x = 4,069.38 × 1,769.90
  4. Step 4: Simplify right side
    2,948.82x = 7,202,375.32
  5. Step 5: Solve for x
    x = 7,202,375.32/2,948.82
  6. Step 6: Final answer
    x = 2,442.46

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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.