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Finding the Fourth Proportional to 21,753.40, 30,018.64 and 12,322

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Solution

The fourth proportional to 21,753.40, 30,018.64 and 12,322 is: 17,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.40 : 30,018.64 = 12,322 : x
  2. Step 2: Convert to fraction form
    21,753.40/30,018.64 = 12,322/x
  3. Step 3: Cross multiply
    21,753.40x = 30,018.64 × 12,322
  4. Step 4: Simplify right side
    21,753.40x = 369,889,682.08
  5. Step 5: Solve for x
    x = 369,889,682.08/21,753.40
  6. Step 6: Final answer
    x = 17,003.76

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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.