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Finding the Fourth Proportional to 22,744, 31,388.64 and 12,809.92

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Solution

The fourth proportional to 22,744, 31,388.64 and 12,809.92 is: 17,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744 : 31,388.64 = 12,809.92 : x
  2. Step 2: Convert to fraction form
    22,744/31,388.64 = 12,809.92/x
  3. Step 3: Cross multiply
    22,744x = 31,388.64 × 12,809.92
  4. Step 4: Simplify right side
    22,744x = 402,085,967.31
  5. Step 5: Solve for x
    x = 402,085,967.31/22,744
  6. Step 6: Final answer
    x = 17,678.77

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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.