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Finding the Fourth Proportional to 10,285.96, 15,431.74 and 3,361

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Solution

The fourth proportional to 10,285.96, 15,431.74 and 3,361 is: 5,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.96 : 15,431.74 = 3,361 : x
  2. Step 2: Convert to fraction form
    10,285.96/15,431.74 = 3,361/x
  3. Step 3: Cross multiply
    10,285.96x = 15,431.74 × 3,361
  4. Step 4: Simplify right side
    10,285.96x = 51,866,078.14
  5. Step 5: Solve for x
    x = 51,866,078.14/10,285.96
  6. Step 6: Final answer
    x = 5,042.41

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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.