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Finding the Fourth Proportional to 18,336, 27,491.66 and 8,469.84

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Solution

The fourth proportional to 18,336, 27,491.66 and 8,469.84 is: 12,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,336 : 27,491.66 = 8,469.84 : x
  2. Step 2: Convert to fraction form
    18,336/27,491.66 = 8,469.84/x
  3. Step 3: Cross multiply
    18,336x = 27,491.66 × 8,469.84
  4. Step 4: Simplify right side
    18,336x = 232,849,961.53
  5. Step 5: Solve for x
    x = 232,849,961.53/18,336
  6. Step 6: Final answer
    x = 12,699.06

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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.