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Finding the Fourth Proportional to 22,431, 30,954.80 and 12,495

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Solution

The fourth proportional to 22,431, 30,954.80 and 12,495 is: 17,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431 : 30,954.80 = 12,495 : x
  2. Step 2: Convert to fraction form
    22,431/30,954.80 = 12,495/x
  3. Step 3: Cross multiply
    22,431x = 30,954.80 × 12,495
  4. Step 4: Simplify right side
    22,431x = 386,780,226
  5. Step 5: Solve for x
    x = 386,780,226/22,431
  6. Step 6: Final answer
    x = 17,243.11

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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.