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Finding the Fourth Proportional to 9,042.78, 13,552.63 and 7,867.88

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Solution

The fourth proportional to 9,042.78, 13,552.63 and 7,867.88 is: 11,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.78 : 13,552.63 = 7,867.88 : x
  2. Step 2: Convert to fraction form
    9,042.78/13,552.63 = 7,867.88/x
  3. Step 3: Cross multiply
    9,042.78x = 13,552.63 × 7,867.88
  4. Step 4: Simplify right side
    9,042.78x = 106,630,379.09
  5. Step 5: Solve for x
    x = 106,630,379.09/9,042.78
  6. Step 6: Final answer
    x = 11,791.77

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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.