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Finding the Fourth Proportional to 3,692, 5,540.16 and 1,640

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Solution

The fourth proportional to 3,692, 5,540.16 and 1,640 is: 2,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692 : 5,540.16 = 1,640 : x
  2. Step 2: Convert to fraction form
    3,692/5,540.16 = 1,640/x
  3. Step 3: Cross multiply
    3,692x = 5,540.16 × 1,640
  4. Step 4: Simplify right side
    3,692x = 9,085,862.40
  5. Step 5: Solve for x
    x = 9,085,862.40/3,692
  6. Step 6: Final answer
    x = 2,460.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.