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Finding the Fourth Proportional to 2,646.80, 3,661.80 and 2,589.20

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Solution

The fourth proportional to 2,646.80, 3,661.80 and 2,589.20 is: 3,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.80 : 3,661.80 = 2,589.20 : x
  2. Step 2: Convert to fraction form
    2,646.80/3,661.80 = 2,589.20/x
  3. Step 3: Cross multiply
    2,646.80x = 3,661.80 × 2,589.20
  4. Step 4: Simplify right side
    2,646.80x = 9,481,132.56
  5. Step 5: Solve for x
    x = 9,481,132.56/2,646.80
  6. Step 6: Final answer
    x = 3,582.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.