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Finding the Fourth Proportional to 12,201.67, 16,833.49 and 7,957.68

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Solution

The fourth proportional to 12,201.67, 16,833.49 and 7,957.68 is: 10,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.67 : 16,833.49 = 7,957.68 : x
  2. Step 2: Convert to fraction form
    12,201.67/16,833.49 = 7,957.68/x
  3. Step 3: Cross multiply
    12,201.67x = 16,833.49 × 7,957.68
  4. Step 4: Simplify right side
    12,201.67x = 133,955,526.70
  5. Step 5: Solve for x
    x = 133,955,526.70/12,201.67
  6. Step 6: Final answer
    x = 10,978.46

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1.5x scale

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.