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Finding the Fourth Proportional to 2,704.89, 3,732.11 and 1,642.61

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Solution

The fourth proportional to 2,704.89, 3,732.11 and 1,642.61 is: 2,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.89 : 3,732.11 = 1,642.61 : x
  2. Step 2: Convert to fraction form
    2,704.89/3,732.11 = 1,642.61/x
  3. Step 3: Cross multiply
    2,704.89x = 3,732.11 × 1,642.61
  4. Step 4: Simplify right side
    2,704.89x = 6,130,402.32
  5. Step 5: Solve for x
    x = 6,130,402.32/2,704.89
  6. Step 6: Final answer
    x = 2,266.41

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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.