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Finding the Fourth Proportional to 3,398.54, 5,091.99 and 2,657.87

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Solution

The fourth proportional to 3,398.54, 5,091.99 and 2,657.87 is: 3,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.54 : 5,091.99 = 2,657.87 : x
  2. Step 2: Convert to fraction form
    3,398.54/5,091.99 = 2,657.87/x
  3. Step 3: Cross multiply
    3,398.54x = 5,091.99 × 2,657.87
  4. Step 4: Simplify right side
    3,398.54x = 13,533,822.00
  5. Step 5: Solve for x
    x = 13,533,822.00/3,398.54
  6. Step 6: Final answer
    x = 3,982.25

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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.