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Finding the Fourth Proportional to 2,122.84, 3,184.16 and 562.84

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Solution

The fourth proportional to 2,122.84, 3,184.16 and 562.84 is: 844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.84 : 3,184.16 = 562.84 : x
  2. Step 2: Convert to fraction form
    2,122.84/3,184.16 = 562.84/x
  3. Step 3: Cross multiply
    2,122.84x = 3,184.16 × 562.84
  4. Step 4: Simplify right side
    2,122.84x = 1,792,172.61
  5. Step 5: Solve for x
    x = 1,792,172.61/2,122.84
  6. Step 6: Final answer
    x = 844.23

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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.