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Finding the Fourth Proportional to 8,128, 12,189.53 and 4,230.28

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Solution

The fourth proportional to 8,128, 12,189.53 and 4,230.28 is: 6,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128 : 12,189.53 = 4,230.28 : x
  2. Step 2: Convert to fraction form
    8,128/12,189.53 = 4,230.28/x
  3. Step 3: Cross multiply
    8,128x = 12,189.53 × 4,230.28
  4. Step 4: Simplify right side
    8,128x = 51,565,103.82
  5. Step 5: Solve for x
    x = 51,565,103.82/8,128
  6. Step 6: Final answer
    x = 6,344.13

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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.