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Finding the Fourth Proportional to 12,207.73, 16,840.49 and 7,723.93

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Solution

The fourth proportional to 12,207.73, 16,840.49 and 7,723.93 is: 10,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.73 : 16,840.49 = 7,723.93 : x
  2. Step 2: Convert to fraction form
    12,207.73/16,840.49 = 7,723.93/x
  3. Step 3: Cross multiply
    12,207.73x = 16,840.49 × 7,723.93
  4. Step 4: Simplify right side
    12,207.73x = 130,074,727.31
  5. Step 5: Solve for x
    x = 130,074,727.31/12,207.73
  6. Step 6: Final answer
    x = 10,655.11

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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.