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Finding the Fourth Proportional to 16,165.92, 22,310 and 10,115.20

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Solution

The fourth proportional to 16,165.92, 22,310 and 10,115.20 is: 13,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.92 : 22,310 = 10,115.20 : x
  2. Step 2: Convert to fraction form
    16,165.92/22,310 = 10,115.20/x
  3. Step 3: Cross multiply
    16,165.92x = 22,310 × 10,115.20
  4. Step 4: Simplify right side
    16,165.92x = 225,670,112.00
  5. Step 5: Solve for x
    x = 225,670,112.00/16,165.92
  6. Step 6: Final answer
    x = 13,959.62

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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.