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Finding the Fourth Proportional to 28,550.60, 42,826.83 and 9,830.43

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Solution

The fourth proportional to 28,550.60, 42,826.83 and 9,830.43 is: 14,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,550.60 : 42,826.83 = 9,830.43 : x
  2. Step 2: Convert to fraction form
    28,550.60/42,826.83 = 9,830.43/x
  3. Step 3: Cross multiply
    28,550.60x = 42,826.83 × 9,830.43
  4. Step 4: Simplify right side
    28,550.60x = 421,006,154.44
  5. Step 5: Solve for x
    x = 421,006,154.44/28,550.60
  6. Step 6: Final answer
    x = 14,745.97

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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.