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Finding the Fourth Proportional to 2,652, 3,660.74 and 2,277.48

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Solution

The fourth proportional to 2,652, 3,660.74 and 2,277.48 is: 3,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652 : 3,660.74 = 2,277.48 : x
  2. Step 2: Convert to fraction form
    2,652/3,660.74 = 2,277.48/x
  3. Step 3: Cross multiply
    2,652x = 3,660.74 × 2,277.48
  4. Step 4: Simplify right side
    2,652x = 8,337,243.83
  5. Step 5: Solve for x
    x = 8,337,243.83/2,652
  6. Step 6: Final answer
    x = 3,143.76

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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.