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Finding the Fourth Proportional to 5,771.78, 7,965.18 and 3,219.70

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Solution

The fourth proportional to 5,771.78, 7,965.18 and 3,219.70 is: 4,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.78 : 7,965.18 = 3,219.70 : x
  2. Step 2: Convert to fraction form
    5,771.78/7,965.18 = 3,219.70/x
  3. Step 3: Cross multiply
    5,771.78x = 7,965.18 × 3,219.70
  4. Step 4: Simplify right side
    5,771.78x = 25,645,490.05
  5. Step 5: Solve for x
    x = 25,645,490.05/5,771.78
  6. Step 6: Final answer
    x = 4,443.25

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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.