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Finding the Fourth Proportional to 6,424.76, 9,639 and 2,727.56

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Solution

The fourth proportional to 6,424.76, 9,639 and 2,727.56 is: 4,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.76 : 9,639 = 2,727.56 : x
  2. Step 2: Convert to fraction form
    6,424.76/9,639 = 2,727.56/x
  3. Step 3: Cross multiply
    6,424.76x = 9,639 × 2,727.56
  4. Step 4: Simplify right side
    6,424.76x = 26,290,950.84
  5. Step 5: Solve for x
    x = 26,290,950.84/6,424.76
  6. Step 6: Final answer
    x = 4,092.13

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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.