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Finding the Fourth Proportional to 5,777.82, 8,667.09 and 1,976.85

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Solution

The fourth proportional to 5,777.82, 8,667.09 and 1,976.85 is: 2,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.82 : 8,667.09 = 1,976.85 : x
  2. Step 2: Convert to fraction form
    5,777.82/8,667.09 = 1,976.85/x
  3. Step 3: Cross multiply
    5,777.82x = 8,667.09 × 1,976.85
  4. Step 4: Simplify right side
    5,777.82x = 17,133,536.87
  5. Step 5: Solve for x
    x = 17,133,536.87/5,777.82
  6. Step 6: Final answer
    x = 2,965.40

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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.