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Finding the Fourth Proportional to 3,219.84, 4,822.14 and 2,754.96

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Solution

The fourth proportional to 3,219.84, 4,822.14 and 2,754.96 is: 4,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.84 : 4,822.14 = 2,754.96 : x
  2. Step 2: Convert to fraction form
    3,219.84/4,822.14 = 2,754.96/x
  3. Step 3: Cross multiply
    3,219.84x = 4,822.14 × 2,754.96
  4. Step 4: Simplify right side
    3,219.84x = 13,284,802.81
  5. Step 5: Solve for x
    x = 13,284,802.81/3,219.84
  6. Step 6: Final answer
    x = 4,125.92

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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.