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Finding the Fourth Proportional to 28,550.52, 42,815.14 and 9,825.32

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Solution

The fourth proportional to 28,550.52, 42,815.14 and 9,825.32 is: 14,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,550.52 : 42,815.14 = 9,825.32 : x
  2. Step 2: Convert to fraction form
    28,550.52/42,815.14 = 9,825.32/x
  3. Step 3: Cross multiply
    28,550.52x = 42,815.14 × 9,825.32
  4. Step 4: Simplify right side
    28,550.52x = 420,672,451.34
  5. Step 5: Solve for x
    x = 420,672,451.34/28,550.52
  6. Step 6: Final answer
    x = 14,734.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.