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Finding the Fourth Proportional to 18,883.24, 28,321.62 and 5,029

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Solution

The fourth proportional to 18,883.24, 28,321.62 and 5,029 is: 7,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,883.24 : 28,321.62 = 5,029 : x
  2. Step 2: Convert to fraction form
    18,883.24/28,321.62 = 5,029/x
  3. Step 3: Cross multiply
    18,883.24x = 28,321.62 × 5,029
  4. Step 4: Simplify right side
    18,883.24x = 142,429,426.98
  5. Step 5: Solve for x
    x = 142,429,426.98/18,883.24
  6. Step 6: Final answer
    x = 7,542.64

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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.