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Finding the Fourth Proportional to 3,648, 5,496.84 and 3,250.20

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Solution

The fourth proportional to 3,648, 5,496.84 and 3,250.20 is: 4,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,496.84 = 3,250.20 : x
  2. Step 2: Convert to fraction form
    3,648/5,496.84 = 3,250.20/x
  3. Step 3: Cross multiply
    3,648x = 5,496.84 × 3,250.20
  4. Step 4: Simplify right side
    3,648x = 17,865,829.37
  5. Step 5: Solve for x
    x = 17,865,829.37/3,648
  6. Step 6: Final answer
    x = 4,897.43

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