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Finding the Fourth Proportional to 22,926, 31,638.36 and 12,990

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Solution

The fourth proportional to 22,926, 31,638.36 and 12,990 is: 17,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,926 : 31,638.36 = 12,990 : x
  2. Step 2: Convert to fraction form
    22,926/31,638.36 = 12,990/x
  3. Step 3: Cross multiply
    22,926x = 31,638.36 × 12,990
  4. Step 4: Simplify right side
    22,926x = 410,982,296.40
  5. Step 5: Solve for x
    x = 410,982,296.40/22,926
  6. Step 6: Final answer
    x = 17,926.47

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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.