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Finding the Fourth Proportional to 2,755.02, 4,138.05 and 1,646.61

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Solution

The fourth proportional to 2,755.02, 4,138.05 and 1,646.61 is: 2,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.02 : 4,138.05 = 1,646.61 : x
  2. Step 2: Convert to fraction form
    2,755.02/4,138.05 = 1,646.61/x
  3. Step 3: Cross multiply
    2,755.02x = 4,138.05 × 1,646.61
  4. Step 4: Simplify right side
    2,755.02x = 6,813,754.51
  5. Step 5: Solve for x
    x = 6,813,754.51/2,755.02
  6. Step 6: Final answer
    x = 2,473.21

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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.