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Finding the Fourth Proportional to 3,642.72, 5,032.44 and 2,942.88

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Solution

The fourth proportional to 3,642.72, 5,032.44 and 2,942.88 is: 4,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.72 : 5,032.44 = 2,942.88 : x
  2. Step 2: Convert to fraction form
    3,642.72/5,032.44 = 2,942.88/x
  3. Step 3: Cross multiply
    3,642.72x = 5,032.44 × 2,942.88
  4. Step 4: Simplify right side
    3,642.72x = 14,809,867.03
  5. Step 5: Solve for x
    x = 14,809,867.03/3,642.72
  6. Step 6: Final answer
    x = 4,065.61

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1.5x scale

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.