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Finding the Fourth Proportional to 5,771.23, 7,965.60 and 3,780.64

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Solution

The fourth proportional to 5,771.23, 7,965.60 and 3,780.64 is: 5,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.23 : 7,965.60 = 3,780.64 : x
  2. Step 2: Convert to fraction form
    5,771.23/7,965.60 = 3,780.64/x
  3. Step 3: Cross multiply
    5,771.23x = 7,965.60 × 3,780.64
  4. Step 4: Simplify right side
    5,771.23x = 30,115,065.98
  5. Step 5: Solve for x
    x = 30,115,065.98/5,771.23
  6. Step 6: Final answer
    x = 5,218.14

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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.