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Finding the Fourth Proportional to 10,605.69, 15,906.73 and 2,815.29

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Solution

The fourth proportional to 10,605.69, 15,906.73 and 2,815.29 is: 4,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.69 : 15,906.73 = 2,815.29 : x
  2. Step 2: Convert to fraction form
    10,605.69/15,906.73 = 2,815.29/x
  3. Step 3: Cross multiply
    10,605.69x = 15,906.73 × 2,815.29
  4. Step 4: Simplify right side
    10,605.69x = 44,782,057.90
  5. Step 5: Solve for x
    x = 44,782,057.90/10,605.69
  6. Step 6: Final answer
    x = 4,222.46

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1.5x scale

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.