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Finding the Fourth Proportional to 3,252.45, 4,878.69 and 787.27

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Solution

The fourth proportional to 3,252.45, 4,878.69 and 787.27 is: 1,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.45 : 4,878.69 = 787.27 : x
  2. Step 2: Convert to fraction form
    3,252.45/4,878.69 = 787.27/x
  3. Step 3: Cross multiply
    3,252.45x = 4,878.69 × 787.27
  4. Step 4: Simplify right side
    3,252.45x = 3,840,820.25
  5. Step 5: Solve for x
    x = 3,840,820.25/3,252.45
  6. Step 6: Final answer
    x = 1,180.90

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1.5x scale

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.