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Finding the Fourth Proportional to 22,735, 31,378.62 and 12,799

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Solution

The fourth proportional to 22,735, 31,378.62 and 12,799 is: 17,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735 : 31,378.62 = 12,799 : x
  2. Step 2: Convert to fraction form
    22,735/31,378.62 = 12,799/x
  3. Step 3: Cross multiply
    22,735x = 31,378.62 × 12,799
  4. Step 4: Simplify right side
    22,735x = 401,614,957.38
  5. Step 5: Solve for x
    x = 401,614,957.38/22,735
  6. Step 6: Final answer
    x = 17,665.05

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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.