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Finding the Fourth Proportional to 2,502.62, 3,452.51 and 1,650.77

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Solution

The fourth proportional to 2,502.62, 3,452.51 and 1,650.77 is: 2,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.62 : 3,452.51 = 1,650.77 : x
  2. Step 2: Convert to fraction form
    2,502.62/3,452.51 = 1,650.77/x
  3. Step 3: Cross multiply
    2,502.62x = 3,452.51 × 1,650.77
  4. Step 4: Simplify right side
    2,502.62x = 5,699,291.68
  5. Step 5: Solve for x
    x = 5,699,291.68/2,502.62
  6. Step 6: Final answer
    x = 2,277.33

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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.