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Finding the Fourth Proportional to 3,857.80, 5,782.56 and 1,667.56

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Solution

The fourth proportional to 3,857.80, 5,782.56 and 1,667.56 is: 2,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.80 : 5,782.56 = 1,667.56 : x
  2. Step 2: Convert to fraction form
    3,857.80/5,782.56 = 1,667.56/x
  3. Step 3: Cross multiply
    3,857.80x = 5,782.56 × 1,667.56
  4. Step 4: Simplify right side
    3,857.80x = 9,642,765.75
  5. Step 5: Solve for x
    x = 9,642,765.75/3,857.80
  6. Step 6: Final answer
    x = 2,499.55

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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.