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Finding the Fourth Proportional to 8,128, 11,216.64 and 4,402

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Solution

The fourth proportional to 8,128, 11,216.64 and 4,402 is: 6,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 11,216.64 = 4,402 : x
  2. Step 2: Convert to fraction form
    8,128/11,216.64 = 4,402/x
  3. Step 3: Cross multiply
    8,128x = 11,216.64 × 4,402
  4. Step 4: Simplify right side
    8,128x = 49,375,649.28
  5. Step 5: Solve for x
    x = 49,375,649.28/8,128
  6. Step 6: Final answer
    x = 6,074.76

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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.