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Finding the Fourth Proportional to 5,191.37, 7,787.16 and 1,859.83

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Solution

The fourth proportional to 5,191.37, 7,787.16 and 1,859.83 is: 2,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.37 : 7,787.16 = 1,859.83 : x
  2. Step 2: Convert to fraction form
    5,191.37/7,787.16 = 1,859.83/x
  3. Step 3: Cross multiply
    5,191.37x = 7,787.16 × 1,859.83
  4. Step 4: Simplify right side
    5,191.37x = 14,482,796.22
  5. Step 5: Solve for x
    x = 14,482,796.22/5,191.37
  6. Step 6: Final answer
    x = 2,789.79

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Double scale
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Similar ratio
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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.