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Finding the Fourth Proportional to 3,388.64, 5,081.28 and 1,745.76

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Solution

The fourth proportional to 3,388.64, 5,081.28 and 1,745.76 is: 2,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.64 : 5,081.28 = 1,745.76 : x
  2. Step 2: Convert to fraction form
    3,388.64/5,081.28 = 1,745.76/x
  3. Step 3: Cross multiply
    3,388.64x = 5,081.28 × 1,745.76
  4. Step 4: Simplify right side
    3,388.64x = 8,870,695.37
  5. Step 5: Solve for x
    x = 8,870,695.37/3,388.64
  6. Step 6: Final answer
    x = 2,617.77

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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.