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Finding the Fourth Proportional to 9,156.73, 13,736.87 and 3,891.68

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Solution

The fourth proportional to 9,156.73, 13,736.87 and 3,891.68 is: 5,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.73 : 13,736.87 = 3,891.68 : x
  2. Step 2: Convert to fraction form
    9,156.73/13,736.87 = 3,891.68/x
  3. Step 3: Cross multiply
    9,156.73x = 13,736.87 × 3,891.68
  4. Step 4: Simplify right side
    9,156.73x = 53,459,502.10
  5. Step 5: Solve for x
    x = 53,459,502.10/9,156.73
  6. Step 6: Final answer
    x = 5,838.27

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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.