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Finding the Fourth Proportional to 5,777.92, 7,974.21 and 3,788.56

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Solution

The fourth proportional to 5,777.92, 7,974.21 and 3,788.56 is: 5,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.92 : 7,974.21 = 3,788.56 : x
  2. Step 2: Convert to fraction form
    5,777.92/7,974.21 = 3,788.56/x
  3. Step 3: Cross multiply
    5,777.92x = 7,974.21 × 3,788.56
  4. Step 4: Simplify right side
    5,777.92x = 30,210,773.04
  5. Step 5: Solve for x
    x = 30,210,773.04/5,777.92
  6. Step 6: Final answer
    x = 5,228.66

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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.