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Finding the Fourth Proportional to 21,896.64, 30,215.63 and 12,336

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Solution

The fourth proportional to 21,896.64, 30,215.63 and 12,336 is: 17,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.64 : 30,215.63 = 12,336 : x
  2. Step 2: Convert to fraction form
    21,896.64/30,215.63 = 12,336/x
  3. Step 3: Cross multiply
    21,896.64x = 30,215.63 × 12,336
  4. Step 4: Simplify right side
    21,896.64x = 372,739,950
  5. Step 5: Solve for x
    x = 372,739,950/21,896.64
  6. Step 6: Final answer
    x = 17,022.70

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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.