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Finding the Fourth Proportional to 9,791.91, 13,507.83 and 6,251.40

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Solution

The fourth proportional to 9,791.91, 13,507.83 and 6,251.40 is: 8,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.91 : 13,507.83 = 6,251.40 : x
  2. Step 2: Convert to fraction form
    9,791.91/13,507.83 = 6,251.40/x
  3. Step 3: Cross multiply
    9,791.91x = 13,507.83 × 6,251.40
  4. Step 4: Simplify right side
    9,791.91x = 84,442,848.46
  5. Step 5: Solve for x
    x = 84,442,848.46/9,791.91
  6. Step 6: Final answer
    x = 8,623.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.