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Finding the Fourth Proportional to 18,146.92, 27,230.88 and 7,616

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Solution

The fourth proportional to 18,146.92, 27,230.88 and 7,616 is: 11,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.92 : 27,230.88 = 7,616 : x
  2. Step 2: Convert to fraction form
    18,146.92/27,230.88 = 7,616/x
  3. Step 3: Cross multiply
    18,146.92x = 27,230.88 × 7,616
  4. Step 4: Simplify right side
    18,146.92x = 207,390,382.08
  5. Step 5: Solve for x
    x = 207,390,382.08/18,146.92
  6. Step 6: Final answer
    x = 11,428.41

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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.