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Finding the Fourth Proportional to 2,282.36, 3,423.54 and 821.48

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Solution

The fourth proportional to 2,282.36, 3,423.54 and 821.48 is: 1,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.36 : 3,423.54 = 821.48 : x
  2. Step 2: Convert to fraction form
    2,282.36/3,423.54 = 821.48/x
  3. Step 3: Cross multiply
    2,282.36x = 3,423.54 × 821.48
  4. Step 4: Simplify right side
    2,282.36x = 2,812,369.64
  5. Step 5: Solve for x
    x = 2,812,369.64/2,282.36
  6. Step 6: Final answer
    x = 1,232.22

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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.