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Finding the Fourth Proportional to 2,938.80, 4,406.13 and 2,662.02

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Solution

The fourth proportional to 2,938.80, 4,406.13 and 2,662.02 is: 3,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.80 : 4,406.13 = 2,662.02 : x
  2. Step 2: Convert to fraction form
    2,938.80/4,406.13 = 2,662.02/x
  3. Step 3: Cross multiply
    2,938.80x = 4,406.13 × 2,662.02
  4. Step 4: Simplify right side
    2,938.80x = 11,729,206.18
  5. Step 5: Solve for x
    x = 11,729,206.18/2,938.80
  6. Step 6: Final answer
    x = 3,991.15

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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.