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Finding the Fourth Proportional to 22,462, 30,997.78 and 12,390.78

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Solution

The fourth proportional to 22,462, 30,997.78 and 12,390.78 is: 17,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462 : 30,997.78 = 12,390.78 : x
  2. Step 2: Convert to fraction form
    22,462/30,997.78 = 12,390.78/x
  3. Step 3: Cross multiply
    22,462x = 30,997.78 × 12,390.78
  4. Step 4: Simplify right side
    22,462x = 384,086,672.47
  5. Step 5: Solve for x
    x = 384,086,672.47/22,462
  6. Step 6: Final answer
    x = 17,099.40

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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.