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Finding the Fourth Proportional to 19,654, 29,489.04 and 8,554.96

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Solution

The fourth proportional to 19,654, 29,489.04 and 8,554.96 is: 12,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 29,489.04 = 8,554.96 : x
  2. Step 2: Convert to fraction form
    19,654/29,489.04 = 8,554.96/x
  3. Step 3: Cross multiply
    19,654x = 29,489.04 × 8,554.96
  4. Step 4: Simplify right side
    19,654x = 252,277,557.64
  5. Step 5: Solve for x
    x = 252,277,557.64/19,654
  6. Step 6: Final answer
    x = 12,835.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.