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Finding the Fourth Proportional to 6,555.34, 9,046.47 and 3,902.68

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Solution

The fourth proportional to 6,555.34, 9,046.47 and 3,902.68 is: 5,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.34 : 9,046.47 = 3,902.68 : x
  2. Step 2: Convert to fraction form
    6,555.34/9,046.47 = 3,902.68/x
  3. Step 3: Cross multiply
    6,555.34x = 9,046.47 × 3,902.68
  4. Step 4: Simplify right side
    6,555.34x = 35,305,477.54
  5. Step 5: Solve for x
    x = 35,305,477.54/6,555.34
  6. Step 6: Final answer
    x = 5,385.76

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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.