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Finding the Fourth Proportional to 7,319, 10,100.22 and 4,175.26

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Solution

The fourth proportional to 7,319, 10,100.22 and 4,175.26 is: 5,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319 : 10,100.22 = 4,175.26 : x
  2. Step 2: Convert to fraction form
    7,319/10,100.22 = 4,175.26/x
  3. Step 3: Cross multiply
    7,319x = 10,100.22 × 4,175.26
  4. Step 4: Simplify right side
    7,319x = 42,171,044.56
  5. Step 5: Solve for x
    x = 42,171,044.56/7,319
  6. Step 6: Final answer
    x = 5,761.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.