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Finding the Fourth Proportional to 18,717, 28,077.12 and 4,866

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Solution

The fourth proportional to 18,717, 28,077.12 and 4,866 is: 7,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,717 : 28,077.12 = 4,866 : x
  2. Step 2: Convert to fraction form
    18,717/28,077.12 = 4,866/x
  3. Step 3: Cross multiply
    18,717x = 28,077.12 × 4,866
  4. Step 4: Simplify right side
    18,717x = 136,623,265.92
  5. Step 5: Solve for x
    x = 136,623,265.92/18,717
  6. Step 6: Final answer
    x = 7,299.42

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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.