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Finding the Fourth Proportional to 2,651.67, 3,973.74 and 1,952.85

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Solution

The fourth proportional to 2,651.67, 3,973.74 and 1,952.85 is: 2,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.67 : 3,973.74 = 1,952.85 : x
  2. Step 2: Convert to fraction form
    2,651.67/3,973.74 = 1,952.85/x
  3. Step 3: Cross multiply
    2,651.67x = 3,973.74 × 1,952.85
  4. Step 4: Simplify right side
    2,651.67x = 7,760,120.77
  5. Step 5: Solve for x
    x = 7,760,120.77/2,651.67
  6. Step 6: Final answer
    x = 2,926.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.