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Finding the Fourth Proportional to 3,864.78, 5,787.45 and 2,768.58

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Solution

The fourth proportional to 3,864.78, 5,787.45 and 2,768.58 is: 4,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.78 : 5,787.45 = 2,768.58 : x
  2. Step 2: Convert to fraction form
    3,864.78/5,787.45 = 2,768.58/x
  3. Step 3: Cross multiply
    3,864.78x = 5,787.45 × 2,768.58
  4. Step 4: Simplify right side
    3,864.78x = 16,023,018.32
  5. Step 5: Solve for x
    x = 16,023,018.32/3,864.78
  6. Step 6: Final answer
    x = 4,145.91

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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.