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Finding the Fourth Proportional to 2,704.67, 3,732.71 and 1,642.19

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Solution

The fourth proportional to 2,704.67, 3,732.71 and 1,642.19 is: 2,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.67 : 3,732.71 = 1,642.19 : x
  2. Step 2: Convert to fraction form
    2,704.67/3,732.71 = 1,642.19/x
  3. Step 3: Cross multiply
    2,704.67x = 3,732.71 × 1,642.19
  4. Step 4: Simplify right side
    2,704.67x = 6,129,832.47
  5. Step 5: Solve for x
    x = 6,129,832.47/2,704.67
  6. Step 6: Final answer
    x = 2,266.39

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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.