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Finding the Fourth Proportional to 10,505.50, 15,760.81 and 3,209.50

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Solution

The fourth proportional to 10,505.50, 15,760.81 and 3,209.50 is: 4,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.50 : 15,760.81 = 3,209.50 : x
  2. Step 2: Convert to fraction form
    10,505.50/15,760.81 = 3,209.50/x
  3. Step 3: Cross multiply
    10,505.50x = 15,760.81 × 3,209.50
  4. Step 4: Simplify right side
    10,505.50x = 50,584,319.70
  5. Step 5: Solve for x
    x = 50,584,319.70/10,505.50
  6. Step 6: Final answer
    x = 4,815.03

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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.