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Finding the Fourth Proportional to 2,643.05, 3,639.12 and 2,243.89

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Solution

The fourth proportional to 2,643.05, 3,639.12 and 2,243.89 is: 3,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.05 : 3,639.12 = 2,243.89 : x
  2. Step 2: Convert to fraction form
    2,643.05/3,639.12 = 2,243.89/x
  3. Step 3: Cross multiply
    2,643.05x = 3,639.12 × 2,243.89
  4. Step 4: Simplify right side
    2,643.05x = 8,165,781.11
  5. Step 5: Solve for x
    x = 8,165,781.11/2,643.05
  6. Step 6: Final answer
    x = 3,089.53

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1.5x scale

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.