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Finding the Fourth Proportional to 21,489, 29,654.82 and 12,057.36

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Solution

The fourth proportional to 21,489, 29,654.82 and 12,057.36 is: 16,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489 : 29,654.82 = 12,057.36 : x
  2. Step 2: Convert to fraction form
    21,489/29,654.82 = 12,057.36/x
  3. Step 3: Cross multiply
    21,489x = 29,654.82 × 12,057.36
  4. Step 4: Simplify right side
    21,489x = 357,558,840.48
  5. Step 5: Solve for x
    x = 357,558,840.48/21,489
  6. Step 6: Final answer
    x = 16,639.16

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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.