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Finding the Fourth Proportional to 22,031.84, 30,403.86 and 12,600.38

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Solution

The fourth proportional to 22,031.84, 30,403.86 and 12,600.38 is: 17,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031.84 : 30,403.86 = 12,600.38 : x
  2. Step 2: Convert to fraction form
    22,031.84/30,403.86 = 12,600.38/x
  3. Step 3: Cross multiply
    22,031.84x = 30,403.86 × 12,600.38
  4. Step 4: Simplify right side
    22,031.84x = 383,100,189.47
  5. Step 5: Solve for x
    x = 383,100,189.47/22,031.84
  6. Step 6: Final answer
    x = 17,388.48

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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.