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Finding the Fourth Proportional to 13,800.61, 20,692 and 5,908.29

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Solution

The fourth proportional to 13,800.61, 20,692 and 5,908.29 is: 8,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.61 : 20,692 = 5,908.29 : x
  2. Step 2: Convert to fraction form
    13,800.61/20,692 = 5,908.29/x
  3. Step 3: Cross multiply
    13,800.61x = 20,692 × 5,908.29
  4. Step 4: Simplify right side
    13,800.61x = 122,254,336.68
  5. Step 5: Solve for x
    x = 122,254,336.68/13,800.61
  6. Step 6: Final answer
    x = 8,858.62

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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.