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Finding the Fourth Proportional to 2,642.68, 3,945.03 and 2,297.08

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Solution

The fourth proportional to 2,642.68, 3,945.03 and 2,297.08 is: 3,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.68 : 3,945.03 = 2,297.08 : x
  2. Step 2: Convert to fraction form
    2,642.68/3,945.03 = 2,297.08/x
  3. Step 3: Cross multiply
    2,642.68x = 3,945.03 × 2,297.08
  4. Step 4: Simplify right side
    2,642.68x = 9,062,049.51
  5. Step 5: Solve for x
    x = 9,062,049.51/2,642.68
  6. Step 6: Final answer
    x = 3,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.