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Finding the Fourth Proportional to 18,627, 27,942.12 and 4,776

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Solution

The fourth proportional to 18,627, 27,942.12 and 4,776 is: 7,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,627 : 27,942.12 = 4,776 : x
  2. Step 2: Convert to fraction form
    18,627/27,942.12 = 4,776/x
  3. Step 3: Cross multiply
    18,627x = 27,942.12 × 4,776
  4. Step 4: Simplify right side
    18,627x = 133,451,565.12
  5. Step 5: Solve for x
    x = 133,451,565.12/18,627
  6. Step 6: Final answer
    x = 7,164.42

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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.