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Finding the Fourth Proportional to 6,453.42, 9,678.03 and 2,069.82

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Solution

The fourth proportional to 6,453.42, 9,678.03 and 2,069.82 is: 3,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.42 : 9,678.03 = 2,069.82 : x
  2. Step 2: Convert to fraction form
    6,453.42/9,678.03 = 2,069.82/x
  3. Step 3: Cross multiply
    6,453.42x = 9,678.03 × 2,069.82
  4. Step 4: Simplify right side
    6,453.42x = 20,031,780.05
  5. Step 5: Solve for x
    x = 20,031,780.05/6,453.42
  6. Step 6: Final answer
    x = 3,104.06

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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.