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Finding the Fourth Proportional to 8,813.62, 13,216.54 and 4,129.86

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Solution

The fourth proportional to 8,813.62, 13,216.54 and 4,129.86 is: 6,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.62 : 13,216.54 = 4,129.86 : x
  2. Step 2: Convert to fraction form
    8,813.62/13,216.54 = 4,129.86/x
  3. Step 3: Cross multiply
    8,813.62x = 13,216.54 × 4,129.86
  4. Step 4: Simplify right side
    8,813.62x = 54,582,459.88
  5. Step 5: Solve for x
    x = 54,582,459.88/8,813.62
  6. Step 6: Final answer
    x = 6,192.97

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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.