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Finding the Fourth Proportional to 15,319.50, 22,978.50 and 4,789.43

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Solution

The fourth proportional to 15,319.50, 22,978.50 and 4,789.43 is: 7,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.50 : 22,978.50 = 4,789.43 : x
  2. Step 2: Convert to fraction form
    15,319.50/22,978.50 = 4,789.43/x
  3. Step 3: Cross multiply
    15,319.50x = 22,978.50 × 4,789.43
  4. Step 4: Simplify right side
    15,319.50x = 110,053,917.26
  5. Step 5: Solve for x
    x = 110,053,917.26/15,319.50
  6. Step 6: Final answer
    x = 7,183.91

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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.