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Finding the Fourth Proportional to 7,143.03, 10,721.46 and 3,447.86

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Solution

The fourth proportional to 7,143.03, 10,721.46 and 3,447.86 is: 5,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.03 : 10,721.46 = 3,447.86 : x
  2. Step 2: Convert to fraction form
    7,143.03/10,721.46 = 3,447.86/x
  3. Step 3: Cross multiply
    7,143.03x = 10,721.46 × 3,447.86
  4. Step 4: Simplify right side
    7,143.03x = 36,966,119.88
  5. Step 5: Solve for x
    x = 36,966,119.88/7,143.03
  6. Step 6: Final answer
    x = 5,175.13

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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.