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Finding the Fourth Proportional to 18,516, 27,774 and 4,665

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Solution

The fourth proportional to 18,516, 27,774 and 4,665 is: 6,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,516 : 27,774 = 4,665 : x
  2. Step 2: Convert to fraction form
    18,516/27,774 = 4,665/x
  3. Step 3: Cross multiply
    18,516x = 27,774 × 4,665
  4. Step 4: Simplify right side
    18,516x = 129,565,710
  5. Step 5: Solve for x
    x = 129,565,710/18,516
  6. Step 6: Final answer
    x = 6,997.50

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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.