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Finding the Fourth Proportional to 3,671.06, 5,505.71 and 1,205.28

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Solution

The fourth proportional to 3,671.06, 5,505.71 and 1,205.28 is: 1,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.06 : 5,505.71 = 1,205.28 : x
  2. Step 2: Convert to fraction form
    3,671.06/5,505.71 = 1,205.28/x
  3. Step 3: Cross multiply
    3,671.06x = 5,505.71 × 1,205.28
  4. Step 4: Simplify right side
    3,671.06x = 6,635,916.12
  5. Step 5: Solve for x
    x = 6,635,916.12/3,671.06
  6. Step 6: Final answer
    x = 1,807.63

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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.