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Finding the Fourth Proportional to 3,787.68, 5,715.42 and 3,636

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Solution

The fourth proportional to 3,787.68, 5,715.42 and 3,636 is: 5,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.68 : 5,715.42 = 3,636 : x
  2. Step 2: Convert to fraction form
    3,787.68/5,715.42 = 3,636/x
  3. Step 3: Cross multiply
    3,787.68x = 5,715.42 × 3,636
  4. Step 4: Simplify right side
    3,787.68x = 20,781,267.12
  5. Step 5: Solve for x
    x = 20,781,267.12/3,787.68
  6. Step 6: Final answer
    x = 5,486.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.