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Finding the Fourth Proportional to 18,651.92, 27,978.16 and 4,612

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Solution

The fourth proportional to 18,651.92, 27,978.16 and 4,612 is: 6,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.92 : 27,978.16 = 4,612 : x
  2. Step 2: Convert to fraction form
    18,651.92/27,978.16 = 4,612/x
  3. Step 3: Cross multiply
    18,651.92x = 27,978.16 × 4,612
  4. Step 4: Simplify right side
    18,651.92x = 129,035,273.92
  5. Step 5: Solve for x
    x = 129,035,273.92/18,651.92
  6. Step 6: Final answer
    x = 6,918.07

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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.