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Finding the Fourth Proportional to 18,208.89, 27,332.78 and 7,827.93

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Solution

The fourth proportional to 18,208.89, 27,332.78 and 7,827.93 is: 11,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.89 : 27,332.78 = 7,827.93 : x
  2. Step 2: Convert to fraction form
    18,208.89/27,332.78 = 7,827.93/x
  3. Step 3: Cross multiply
    18,208.89x = 27,332.78 × 7,827.93
  4. Step 4: Simplify right side
    18,208.89x = 213,959,049.41
  5. Step 5: Solve for x
    x = 213,959,049.41/18,208.89
  6. Step 6: Final answer
    x = 11,750.25

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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.