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Finding the Fourth Proportional to 18,385.26, 27,569.79 and 5,234.64

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Solution

The fourth proportional to 18,385.26, 27,569.79 and 5,234.64 is: 7,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,385.26 : 27,569.79 = 5,234.64 : x
  2. Step 2: Convert to fraction form
    18,385.26/27,569.79 = 5,234.64/x
  3. Step 3: Cross multiply
    18,385.26x = 27,569.79 × 5,234.64
  4. Step 4: Simplify right side
    18,385.26x = 144,317,925.53
  5. Step 5: Solve for x
    x = 144,317,925.53/18,385.26
  6. Step 6: Final answer
    x = 7,849.65

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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.