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Finding the Fourth Proportional to 16,696, 23,039.52 and 9,142.32

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Solution

The fourth proportional to 16,696, 23,039.52 and 9,142.32 is: 12,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696 : 23,039.52 = 9,142.32 : x
  2. Step 2: Convert to fraction form
    16,696/23,039.52 = 9,142.32/x
  3. Step 3: Cross multiply
    16,696x = 23,039.52 × 9,142.32
  4. Step 4: Simplify right side
    16,696x = 210,634,664.49
  5. Step 5: Solve for x
    x = 210,634,664.49/16,696
  6. Step 6: Final answer
    x = 12,615.88

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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.