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Finding the Fourth Proportional to 19,802.72, 27,324 and 12,249.92

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Solution

The fourth proportional to 19,802.72, 27,324 and 12,249.92 is: 16,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.72 : 27,324 = 12,249.92 : x
  2. Step 2: Convert to fraction form
    19,802.72/27,324 = 12,249.92/x
  3. Step 3: Cross multiply
    19,802.72x = 27,324 × 12,249.92
  4. Step 4: Simplify right side
    19,802.72x = 334,716,814.08
  5. Step 5: Solve for x
    x = 334,716,814.08/19,802.72
  6. Step 6: Final answer
    x = 16,902.57

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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.