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Finding the Fourth Proportional to 10,214, 14,101.08 and 7,725.68

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Solution

The fourth proportional to 10,214, 14,101.08 and 7,725.68 is: 10,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214 : 14,101.08 = 7,725.68 : x
  2. Step 2: Convert to fraction form
    10,214/14,101.08 = 7,725.68/x
  3. Step 3: Cross multiply
    10,214x = 14,101.08 × 7,725.68
  4. Step 4: Simplify right side
    10,214x = 108,940,431.73
  5. Step 5: Solve for x
    x = 108,940,431.73/10,214
  6. Step 6: Final answer
    x = 10,665.80

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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.