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Finding the Fourth Proportional to 10,270.50, 15,404.21 and 2,874

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Solution

The fourth proportional to 10,270.50, 15,404.21 and 2,874 is: 4,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.50 : 15,404.21 = 2,874 : x
  2. Step 2: Convert to fraction form
    10,270.50/15,404.21 = 2,874/x
  3. Step 3: Cross multiply
    10,270.50x = 15,404.21 × 2,874
  4. Step 4: Simplify right side
    10,270.50x = 44,271,685.17
  5. Step 5: Solve for x
    x = 44,271,685.17/10,270.50
  6. Step 6: Final answer
    x = 4,310.57

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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.