Home / 2,197.76-3,297.12-1,102.16

Finding the Fourth Proportional to 2,197.76, 3,297.12 and 1,102.16

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Solution

The fourth proportional to 2,197.76, 3,297.12 and 1,102.16 is: 1,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.76 : 3,297.12 = 1,102.16 : x
  2. Step 2: Convert to fraction form
    2,197.76/3,297.12 = 1,102.16/x
  3. Step 3: Cross multiply
    2,197.76x = 3,297.12 × 1,102.16
  4. Step 4: Simplify right side
    2,197.76x = 3,633,953.78
  5. Step 5: Solve for x
    x = 3,633,953.78/2,197.76
  6. Step 6: Final answer
    x = 1,653.48

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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.