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Finding the Fourth Proportional to 3,734.73, 5,602.10 and 3,084.10

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Solution

The fourth proportional to 3,734.73, 5,602.10 and 3,084.10 is: 4,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.73 : 5,602.10 = 3,084.10 : x
  2. Step 2: Convert to fraction form
    3,734.73/5,602.10 = 3,084.10/x
  3. Step 3: Cross multiply
    3,734.73x = 5,602.10 × 3,084.10
  4. Step 4: Simplify right side
    3,734.73x = 17,277,407.18
  5. Step 5: Solve for x
    x = 17,277,407.18/3,734.73
  6. Step 6: Final answer
    x = 4,626.15

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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.