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Finding the Fourth Proportional to 6,327, 9,489.47 and 2,816.15

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Solution

The fourth proportional to 6,327, 9,489.47 and 2,816.15 is: 4,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327 : 9,489.47 = 2,816.15 : x
  2. Step 2: Convert to fraction form
    6,327/9,489.47 = 2,816.15/x
  3. Step 3: Cross multiply
    6,327x = 9,489.47 × 2,816.15
  4. Step 4: Simplify right side
    6,327x = 26,723,709.41
  5. Step 5: Solve for x
    x = 26,723,709.41/6,327
  6. Step 6: Final answer
    x = 4,223.76

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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.