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Finding the Fourth Proportional to 18,072, 24,937.76 and 10,111.68

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Solution

The fourth proportional to 18,072, 24,937.76 and 10,111.68 is: 13,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072 : 24,937.76 = 10,111.68 : x
  2. Step 2: Convert to fraction form
    18,072/24,937.76 = 10,111.68/x
  3. Step 3: Cross multiply
    18,072x = 24,937.76 × 10,111.68
  4. Step 4: Simplify right side
    18,072x = 252,162,649.04
  5. Step 5: Solve for x
    x = 252,162,649.04/18,072
  6. Step 6: Final answer
    x = 13,953.22

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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.