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Finding the Fourth Proportional to 3,636.90, 5,447.15 and 1,685

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Solution

The fourth proportional to 3,636.90, 5,447.15 and 1,685 is: 2,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.90 : 5,447.15 = 1,685 : x
  2. Step 2: Convert to fraction form
    3,636.90/5,447.15 = 1,685/x
  3. Step 3: Cross multiply
    3,636.90x = 5,447.15 × 1,685
  4. Step 4: Simplify right side
    3,636.90x = 9,178,439.33
  5. Step 5: Solve for x
    x = 9,178,439.33/3,636.90
  6. Step 6: Final answer
    x = 2,523.70

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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.