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Finding the Fourth Proportional to 21,100, 31,645.68 and 10,706.08

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Solution

The fourth proportional to 21,100, 31,645.68 and 10,706.08 is: 16,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100 : 31,645.68 = 10,706.08 : x
  2. Step 2: Convert to fraction form
    21,100/31,645.68 = 10,706.08/x
  3. Step 3: Cross multiply
    21,100x = 31,645.68 × 10,706.08
  4. Step 4: Simplify right side
    21,100x = 338,801,181.73
  5. Step 5: Solve for x
    x = 338,801,181.73/21,100
  6. Step 6: Final answer
    x = 16,056.93

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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.