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Finding the Fourth Proportional to 18,847.31, 28,225.80 and 10,506.60

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Solution

The fourth proportional to 18,847.31, 28,225.80 and 10,506.60 is: 15,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,847.31 : 28,225.80 = 10,506.60 : x
  2. Step 2: Convert to fraction form
    18,847.31/28,225.80 = 10,506.60/x
  3. Step 3: Cross multiply
    18,847.31x = 28,225.80 × 10,506.60
  4. Step 4: Simplify right side
    18,847.31x = 296,557,190.28
  5. Step 5: Solve for x
    x = 296,557,190.28/18,847.31
  6. Step 6: Final answer
    x = 15,734.73

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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.