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Finding the Fourth Proportional to 8,128, 11,214.66 and 4,591

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Solution

The fourth proportional to 8,128, 11,214.66 and 4,591 is: 6,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 11,214.66 = 4,591 : x
  2. Step 2: Convert to fraction form
    8,128/11,214.66 = 4,591/x
  3. Step 3: Cross multiply
    8,128x = 11,214.66 × 4,591
  4. Step 4: Simplify right side
    8,128x = 51,486,504.06
  5. Step 5: Solve for x
    x = 51,486,504.06/8,128
  6. Step 6: Final answer
    x = 6,334.46

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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.