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Finding the Fourth Proportional to 2,651.42, 3,950.48 and 2,502.38

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Solution

The fourth proportional to 2,651.42, 3,950.48 and 2,502.38 is: 3,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.42 : 3,950.48 = 2,502.38 : x
  2. Step 2: Convert to fraction form
    2,651.42/3,950.48 = 2,502.38/x
  3. Step 3: Cross multiply
    2,651.42x = 3,950.48 × 2,502.38
  4. Step 4: Simplify right side
    2,651.42x = 9,885,579.26
  5. Step 5: Solve for x
    x = 9,885,579.26/2,651.42
  6. Step 6: Final answer
    x = 3,728.42

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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.