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Finding the Fourth Proportional to 6,138.48, 9,199.48 and 3,360.96

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Solution

The fourth proportional to 6,138.48, 9,199.48 and 3,360.96 is: 5,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.48 : 9,199.48 = 3,360.96 : x
  2. Step 2: Convert to fraction form
    6,138.48/9,199.48 = 3,360.96/x
  3. Step 3: Cross multiply
    6,138.48x = 9,199.48 × 3,360.96
  4. Step 4: Simplify right side
    6,138.48x = 30,919,084.30
  5. Step 5: Solve for x
    x = 30,919,084.30/6,138.48
  6. Step 6: Final answer
    x = 5,036.93

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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.