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Finding the Fourth Proportional to 6,357.16, 8,773.11 and 3,838.78

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Solution

The fourth proportional to 6,357.16, 8,773.11 and 3,838.78 is: 5,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.16 : 8,773.11 = 3,838.78 : x
  2. Step 2: Convert to fraction form
    6,357.16/8,773.11 = 3,838.78/x
  3. Step 3: Cross multiply
    6,357.16x = 8,773.11 × 3,838.78
  4. Step 4: Simplify right side
    6,357.16x = 33,678,039.21
  5. Step 5: Solve for x
    x = 33,678,039.21/6,357.16
  6. Step 6: Final answer
    x = 5,297.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.