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Finding the Fourth Proportional to 1,968.86, 2,949.92 and 980.36

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Solution

The fourth proportional to 1,968.86, 2,949.92 and 980.36 is: 1,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.86 : 2,949.92 = 980.36 : x
  2. Step 2: Convert to fraction form
    1,968.86/2,949.92 = 980.36/x
  3. Step 3: Cross multiply
    1,968.86x = 2,949.92 × 980.36
  4. Step 4: Simplify right side
    1,968.86x = 2,891,983.57
  5. Step 5: Solve for x
    x = 2,891,983.57/1,968.86
  6. Step 6: Final answer
    x = 1,468.86

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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.