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Finding the Fourth Proportional to 14,446, 19,935.48 and 7,822

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Solution

The fourth proportional to 14,446, 19,935.48 and 7,822 is: 10,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446 : 19,935.48 = 7,822 : x
  2. Step 2: Convert to fraction form
    14,446/19,935.48 = 7,822/x
  3. Step 3: Cross multiply
    14,446x = 19,935.48 × 7,822
  4. Step 4: Simplify right side
    14,446x = 155,935,324.56
  5. Step 5: Solve for x
    x = 155,935,324.56/14,446
  6. Step 6: Final answer
    x = 10,794.36

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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.