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Finding the Fourth Proportional to 28,563.25, 42,835.75 and 9,838.79

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Solution

The fourth proportional to 28,563.25, 42,835.75 and 9,838.79 is: 14,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.25 : 42,835.75 = 9,838.79 : x
  2. Step 2: Convert to fraction form
    28,563.25/42,835.75 = 9,838.79/x
  3. Step 3: Cross multiply
    28,563.25x = 42,835.75 × 9,838.79
  4. Step 4: Simplify right side
    28,563.25x = 421,451,948.74
  5. Step 5: Solve for x
    x = 421,451,948.74/28,563.25
  6. Step 6: Final answer
    x = 14,755.04

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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.