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Finding the Fourth Proportional to 15,946, 22,005.48 and 9,322

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Solution

The fourth proportional to 15,946, 22,005.48 and 9,322 is: 12,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946 : 22,005.48 = 9,322 : x
  2. Step 2: Convert to fraction form
    15,946/22,005.48 = 9,322/x
  3. Step 3: Cross multiply
    15,946x = 22,005.48 × 9,322
  4. Step 4: Simplify right side
    15,946x = 205,135,084.56
  5. Step 5: Solve for x
    x = 205,135,084.56/15,946
  6. Step 6: Final answer
    x = 12,864.36

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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.