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Finding the Fourth Proportional to 3,696.18, 5,540 and 1,614.90

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Solution

The fourth proportional to 3,696.18, 5,540 and 1,614.90 is: 2,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.18 : 5,540 = 1,614.90 : x
  2. Step 2: Convert to fraction form
    3,696.18/5,540 = 1,614.90/x
  3. Step 3: Cross multiply
    3,696.18x = 5,540 × 1,614.90
  4. Step 4: Simplify right side
    3,696.18x = 8,946,546
  5. Step 5: Solve for x
    x = 8,946,546/3,696.18
  6. Step 6: Final answer
    x = 2,420.48

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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.