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Finding the Fourth Proportional to 21,104.54, 31,644.81 and 8,609.93

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Solution

The fourth proportional to 21,104.54, 31,644.81 and 8,609.93 is: 12,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.54 : 31,644.81 = 8,609.93 : x
  2. Step 2: Convert to fraction form
    21,104.54/31,644.81 = 8,609.93/x
  3. Step 3: Cross multiply
    21,104.54x = 31,644.81 × 8,609.93
  4. Step 4: Simplify right side
    21,104.54x = 272,459,440.74
  5. Step 5: Solve for x
    x = 272,459,440.74/21,104.54
  6. Step 6: Final answer
    x = 12,909.99

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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.