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Finding the Fourth Proportional to 6,665.54, 9,989.28 and 3,696.98

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Solution

The fourth proportional to 6,665.54, 9,989.28 and 3,696.98 is: 5,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.54 : 9,989.28 = 3,696.98 : x
  2. Step 2: Convert to fraction form
    6,665.54/9,989.28 = 3,696.98/x
  3. Step 3: Cross multiply
    6,665.54x = 9,989.28 × 3,696.98
  4. Step 4: Simplify right side
    6,665.54x = 36,930,168.37
  5. Step 5: Solve for x
    x = 36,930,168.37/6,665.54
  6. Step 6: Final answer
    x = 5,540.46

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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.