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Finding the Fourth Proportional to 28,800, 43,202.48 and 8,023.50

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Solution

The fourth proportional to 28,800, 43,202.48 and 8,023.50 is: 12,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 43,202.48 = 8,023.50 : x
  2. Step 2: Convert to fraction form
    28,800/43,202.48 = 8,023.50/x
  3. Step 3: Cross multiply
    28,800x = 43,202.48 × 8,023.50
  4. Step 4: Simplify right side
    28,800x = 346,635,058.16
  5. Step 5: Solve for x
    x = 346,635,058.16/28,800
  6. Step 6: Final answer
    x = 12,035.94

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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.