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Finding the Fourth Proportional to 4,463.84, 6,690.84 and 2,821.12

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Solution

The fourth proportional to 4,463.84, 6,690.84 and 2,821.12 is: 4,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.84 : 6,690.84 = 2,821.12 : x
  2. Step 2: Convert to fraction form
    4,463.84/6,690.84 = 2,821.12/x
  3. Step 3: Cross multiply
    4,463.84x = 6,690.84 × 2,821.12
  4. Step 4: Simplify right side
    4,463.84x = 18,875,662.54
  5. Step 5: Solve for x
    x = 18,875,662.54/4,463.84
  6. Step 6: Final answer
    x = 4,228.57

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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.