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Finding the Fourth Proportional to 4,970.80, 7,449.20 and 3,926.22

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Solution

The fourth proportional to 4,970.80, 7,449.20 and 3,926.22 is: 5,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.80 : 7,449.20 = 3,926.22 : x
  2. Step 2: Convert to fraction form
    4,970.80/7,449.20 = 3,926.22/x
  3. Step 3: Cross multiply
    4,970.80x = 7,449.20 × 3,926.22
  4. Step 4: Simplify right side
    4,970.80x = 29,247,198.02
  5. Step 5: Solve for x
    x = 29,247,198.02/4,970.80
  6. Step 6: Final answer
    x = 5,883.80

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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.