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Finding the Fourth Proportional to 3,406.84, 5,110.98 and 1,098.28

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Solution

The fourth proportional to 3,406.84, 5,110.98 and 1,098.28 is: 1,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.84 : 5,110.98 = 1,098.28 : x
  2. Step 2: Convert to fraction form
    3,406.84/5,110.98 = 1,098.28/x
  3. Step 3: Cross multiply
    3,406.84x = 5,110.98 × 1,098.28
  4. Step 4: Simplify right side
    3,406.84x = 5,613,287.11
  5. Step 5: Solve for x
    x = 5,613,287.11/3,406.84
  6. Step 6: Final answer
    x = 1,647.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.