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Finding the Fourth Proportional to 10,558.38, 14,571.18 and 5,843.10

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Solution

The fourth proportional to 10,558.38, 14,571.18 and 5,843.10 is: 8,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.38 : 14,571.18 = 5,843.10 : x
  2. Step 2: Convert to fraction form
    10,558.38/14,571.18 = 5,843.10/x
  3. Step 3: Cross multiply
    10,558.38x = 14,571.18 × 5,843.10
  4. Step 4: Simplify right side
    10,558.38x = 85,140,861.86
  5. Step 5: Solve for x
    x = 85,140,861.86/10,558.38
  6. Step 6: Final answer
    x = 8,063.82

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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.