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Finding the Fourth Proportional to 3,788.99, 5,228.24 and 2,276.22

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Solution

The fourth proportional to 3,788.99, 5,228.24 and 2,276.22 is: 3,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.99 : 5,228.24 = 2,276.22 : x
  2. Step 2: Convert to fraction form
    3,788.99/5,228.24 = 2,276.22/x
  3. Step 3: Cross multiply
    3,788.99x = 5,228.24 × 2,276.22
  4. Step 4: Simplify right side
    3,788.99x = 11,900,632.68
  5. Step 5: Solve for x
    x = 11,900,632.68/3,788.99
  6. Step 6: Final answer
    x = 3,140.85

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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.