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Finding the Fourth Proportional to 2,168.23, 3,252.34 and 524.78

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Solution

The fourth proportional to 2,168.23, 3,252.34 and 524.78 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.23 : 3,252.34 = 524.78 : x
  2. Step 2: Convert to fraction form
    2,168.23/3,252.34 = 524.78/x
  3. Step 3: Cross multiply
    2,168.23x = 3,252.34 × 524.78
  4. Step 4: Simplify right side
    2,168.23x = 1,706,745.41
  5. Step 5: Solve for x
    x = 1,706,745.41/2,168.23
  6. Step 6: Final answer
    x = 787.16

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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.