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Finding the Fourth Proportional to 3,322.38, 4,582.26 and 3,098.82

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Solution

The fourth proportional to 3,322.38, 4,582.26 and 3,098.82 is: 4,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.38 : 4,582.26 = 3,098.82 : x
  2. Step 2: Convert to fraction form
    3,322.38/4,582.26 = 3,098.82/x
  3. Step 3: Cross multiply
    3,322.38x = 4,582.26 × 3,098.82
  4. Step 4: Simplify right side
    3,322.38x = 14,199,598.93
  5. Step 5: Solve for x
    x = 14,199,598.93/3,322.38
  6. Step 6: Final answer
    x = 4,273.92

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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.