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Finding the Fourth Proportional to 3,252, 4,865.76 and 2,280

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Solution

The fourth proportional to 3,252, 4,865.76 and 2,280 is: 3,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252 : 4,865.76 = 2,280 : x
  2. Step 2: Convert to fraction form
    3,252/4,865.76 = 2,280/x
  3. Step 3: Cross multiply
    3,252x = 4,865.76 × 2,280
  4. Step 4: Simplify right side
    3,252x = 11,093,932.80
  5. Step 5: Solve for x
    x = 11,093,932.80/3,252
  6. Step 6: Final answer
    x = 3,411.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.