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Finding the Fourth Proportional to 7,201.38, 9,937.90 and 3,889.38

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Solution

The fourth proportional to 7,201.38, 9,937.90 and 3,889.38 is: 5,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.38 : 9,937.90 = 3,889.38 : x
  2. Step 2: Convert to fraction form
    7,201.38/9,937.90 = 3,889.38/x
  3. Step 3: Cross multiply
    7,201.38x = 9,937.90 × 3,889.38
  4. Step 4: Simplify right side
    7,201.38x = 38,652,219.81
  5. Step 5: Solve for x
    x = 38,652,219.81/7,201.38
  6. Step 6: Final answer
    x = 5,367.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.