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Finding the Fourth Proportional to 2,647.66, 3,970.21 and 798.43

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Solution

The fourth proportional to 2,647.66, 3,970.21 and 798.43 is: 1,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.66 : 3,970.21 = 798.43 : x
  2. Step 2: Convert to fraction form
    2,647.66/3,970.21 = 798.43/x
  3. Step 3: Cross multiply
    2,647.66x = 3,970.21 × 798.43
  4. Step 4: Simplify right side
    2,647.66x = 3,169,934.77
  5. Step 5: Solve for x
    x = 3,169,934.77/2,647.66
  6. Step 6: Final answer
    x = 1,197.26

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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.