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Finding the Fourth Proportional to 13,143.73, 18,138.33 and 8,428

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Solution

The fourth proportional to 13,143.73, 18,138.33 and 8,428 is: 11,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.73 : 18,138.33 = 8,428 : x
  2. Step 2: Convert to fraction form
    13,143.73/18,138.33 = 8,428/x
  3. Step 3: Cross multiply
    13,143.73x = 18,138.33 × 8,428
  4. Step 4: Simplify right side
    13,143.73x = 152,869,845.24
  5. Step 5: Solve for x
    x = 152,869,845.24/13,143.73
  6. Step 6: Final answer
    x = 11,630.63

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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.