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Finding the Fourth Proportional to 22,647, 31,253.34 and 12,711

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Solution

The fourth proportional to 22,647, 31,253.34 and 12,711 is: 17,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647 : 31,253.34 = 12,711 : x
  2. Step 2: Convert to fraction form
    22,647/31,253.34 = 12,711/x
  3. Step 3: Cross multiply
    22,647x = 31,253.34 × 12,711
  4. Step 4: Simplify right side
    22,647x = 397,261,204.74
  5. Step 5: Solve for x
    x = 397,261,204.74/22,647
  6. Step 6: Final answer
    x = 17,541.45

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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.