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Finding the Fourth Proportional to 8,356.86, 11,532.24 and 4,819.86

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Solution

The fourth proportional to 8,356.86, 11,532.24 and 4,819.86 is: 6,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.86 : 11,532.24 = 4,819.86 : x
  2. Step 2: Convert to fraction form
    8,356.86/11,532.24 = 4,819.86/x
  3. Step 3: Cross multiply
    8,356.86x = 11,532.24 × 4,819.86
  4. Step 4: Simplify right side
    8,356.86x = 55,583,782.29
  5. Step 5: Solve for x
    x = 55,583,782.29/8,356.86
  6. Step 6: Final answer
    x = 6,651.28

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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.