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Finding the Fourth Proportional to 5,546.32, 7,640.92 and 3,864.68

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Solution

The fourth proportional to 5,546.32, 7,640.92 and 3,864.68 is: 5,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.32 : 7,640.92 = 3,864.68 : x
  2. Step 2: Convert to fraction form
    5,546.32/7,640.92 = 3,864.68/x
  3. Step 3: Cross multiply
    5,546.32x = 7,640.92 × 3,864.68
  4. Step 4: Simplify right side
    5,546.32x = 29,529,710.71
  5. Step 5: Solve for x
    x = 29,529,710.71/5,546.32
  6. Step 6: Final answer
    x = 5,324.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.