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Finding the Fourth Proportional to 18,477.50, 27,716.49 and 6,165.50

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Solution

The fourth proportional to 18,477.50, 27,716.49 and 6,165.50 is: 9,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.50 : 27,716.49 = 6,165.50 : x
  2. Step 2: Convert to fraction form
    18,477.50/27,716.49 = 6,165.50/x
  3. Step 3: Cross multiply
    18,477.50x = 27,716.49 × 6,165.50
  4. Step 4: Simplify right side
    18,477.50x = 170,886,019.10
  5. Step 5: Solve for x
    x = 170,886,019.10/18,477.50
  6. Step 6: Final answer
    x = 9,248.33

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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.