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Finding the Fourth Proportional to 7,897.44, 10,891.44 and 5,100

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Solution

The fourth proportional to 7,897.44, 10,891.44 and 5,100 is: 7,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.44 : 10,891.44 = 5,100 : x
  2. Step 2: Convert to fraction form
    7,897.44/10,891.44 = 5,100/x
  3. Step 3: Cross multiply
    7,897.44x = 10,891.44 × 5,100
  4. Step 4: Simplify right side
    7,897.44x = 55,546,344
  5. Step 5: Solve for x
    x = 55,546,344/7,897.44
  6. Step 6: Final answer
    x = 7,033.46

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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.