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Finding the Fourth Proportional to 6,780, 10,145.70 and 4,008.18

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Solution

The fourth proportional to 6,780, 10,145.70 and 4,008.18 is: 5,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 10,145.70 = 4,008.18 : x
  2. Step 2: Convert to fraction form
    6,780/10,145.70 = 4,008.18/x
  3. Step 3: Cross multiply
    6,780x = 10,145.70 × 4,008.18
  4. Step 4: Simplify right side
    6,780x = 40,665,791.83
  5. Step 5: Solve for x
    x = 40,665,791.83/6,780
  6. Step 6: Final answer
    x = 5,997.90

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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.