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Finding the Fourth Proportional to 5,199.70, 7,778.07 and 4,757.66

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Solution

The fourth proportional to 5,199.70, 7,778.07 and 4,757.66 is: 7,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.70 : 7,778.07 = 4,757.66 : x
  2. Step 2: Convert to fraction form
    5,199.70/7,778.07 = 4,757.66/x
  3. Step 3: Cross multiply
    5,199.70x = 7,778.07 × 4,757.66
  4. Step 4: Simplify right side
    5,199.70x = 37,005,431.96
  5. Step 5: Solve for x
    x = 37,005,431.96/5,199.70
  6. Step 6: Final answer
    x = 7,116.84

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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.