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Finding the Fourth Proportional to 5,679.46, 7,838.82 and 3,322.18

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Solution

The fourth proportional to 5,679.46, 7,838.82 and 3,322.18 is: 4,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.46 : 7,838.82 = 3,322.18 : x
  2. Step 2: Convert to fraction form
    5,679.46/7,838.82 = 3,322.18/x
  3. Step 3: Cross multiply
    5,679.46x = 7,838.82 × 3,322.18
  4. Step 4: Simplify right side
    5,679.46x = 26,041,971.03
  5. Step 5: Solve for x
    x = 26,041,971.03/5,679.46
  6. Step 6: Final answer
    x = 4,585.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.