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Finding the Fourth Proportional to 9,231.83, 13,860.04 and 7,854.02

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Solution

The fourth proportional to 9,231.83, 13,860.04 and 7,854.02 is: 11,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.83 : 13,860.04 = 7,854.02 : x
  2. Step 2: Convert to fraction form
    9,231.83/13,860.04 = 7,854.02/x
  3. Step 3: Cross multiply
    9,231.83x = 13,860.04 × 7,854.02
  4. Step 4: Simplify right side
    9,231.83x = 108,857,031.36
  5. Step 5: Solve for x
    x = 108,857,031.36/9,231.83
  6. Step 6: Final answer
    x = 11,791.49

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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.