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Finding the Fourth Proportional to 7,092.86, 10,640 and 2,714

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Solution

The fourth proportional to 7,092.86, 10,640 and 2,714 is: 4,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.86 : 10,640 = 2,714 : x
  2. Step 2: Convert to fraction form
    7,092.86/10,640 = 2,714/x
  3. Step 3: Cross multiply
    7,092.86x = 10,640 × 2,714
  4. Step 4: Simplify right side
    7,092.86x = 28,876,960
  5. Step 5: Solve for x
    x = 28,876,960/7,092.86
  6. Step 6: Final answer
    x = 4,071.27

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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.