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Finding the Fourth Proportional to 18,894.52, 28,343.38 and 5,747

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Solution

The fourth proportional to 18,894.52, 28,343.38 and 5,747 is: 8,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.52 : 28,343.38 = 5,747 : x
  2. Step 2: Convert to fraction form
    18,894.52/28,343.38 = 5,747/x
  3. Step 3: Cross multiply
    18,894.52x = 28,343.38 × 5,747
  4. Step 4: Simplify right side
    18,894.52x = 162,889,404.86
  5. Step 5: Solve for x
    x = 162,889,404.86/18,894.52
  6. Step 6: Final answer
    x = 8,620.99

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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.