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Finding the Fourth Proportional to 2,654.01, 3,980.21 and 1,266.62

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Solution

The fourth proportional to 2,654.01, 3,980.21 and 1,266.62 is: 1,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.01 : 3,980.21 = 1,266.62 : x
  2. Step 2: Convert to fraction form
    2,654.01/3,980.21 = 1,266.62/x
  3. Step 3: Cross multiply
    2,654.01x = 3,980.21 × 1,266.62
  4. Step 4: Simplify right side
    2,654.01x = 5,041,387.36
  5. Step 5: Solve for x
    x = 5,041,387.36/2,654.01
  6. Step 6: Final answer
    x = 1,899.54

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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.