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Finding the Fourth Proportional to 2,643.59, 3,639.85 and 2,244.43

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Solution

The fourth proportional to 2,643.59, 3,639.85 and 2,244.43 is: 3,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.59 : 3,639.85 = 2,244.43 : x
  2. Step 2: Convert to fraction form
    2,643.59/3,639.85 = 2,244.43/x
  3. Step 3: Cross multiply
    2,643.59x = 3,639.85 × 2,244.43
  4. Step 4: Simplify right side
    2,643.59x = 8,169,388.54
  5. Step 5: Solve for x
    x = 8,169,388.54/2,643.59
  6. Step 6: Final answer
    x = 3,090.26

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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.