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Finding the Fourth Proportional to 5,648.70, 7,787.04 and 3,964.86

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Solution

The fourth proportional to 5,648.70, 7,787.04 and 3,964.86 is: 5,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.70 : 7,787.04 = 3,964.86 : x
  2. Step 2: Convert to fraction form
    5,648.70/7,787.04 = 3,964.86/x
  3. Step 3: Cross multiply
    5,648.70x = 7,787.04 × 3,964.86
  4. Step 4: Simplify right side
    5,648.70x = 30,874,523.41
  5. Step 5: Solve for x
    x = 30,874,523.41/5,648.70
  6. Step 6: Final answer
    x = 5,465.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.