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Finding the Fourth Proportional to 3,866.24, 5,786.40 and 3,172.88

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Solution

The fourth proportional to 3,866.24, 5,786.40 and 3,172.88 is: 4,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.24 : 5,786.40 = 3,172.88 : x
  2. Step 2: Convert to fraction form
    3,866.24/5,786.40 = 3,172.88/x
  3. Step 3: Cross multiply
    3,866.24x = 5,786.40 × 3,172.88
  4. Step 4: Simplify right side
    3,866.24x = 18,359,552.83
  5. Step 5: Solve for x
    x = 18,359,552.83/3,866.24
  6. Step 6: Final answer
    x = 4,748.68

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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.