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Finding the Fourth Proportional to 4,109, 6,162.20 and 1,335.03

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Solution

The fourth proportional to 4,109, 6,162.20 and 1,335.03 is: 2,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 6,162.20 = 1,335.03 : x
  2. Step 2: Convert to fraction form
    4,109/6,162.20 = 1,335.03/x
  3. Step 3: Cross multiply
    4,109x = 6,162.20 × 1,335.03
  4. Step 4: Simplify right side
    4,109x = 8,226,715.19
  5. Step 5: Solve for x
    x = 8,226,715.19/4,109
  6. Step 6: Final answer
    x = 2,002.12

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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.