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Finding the Fourth Proportional to 5,144.97, 7,100 and 2,906.84

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Solution

The fourth proportional to 5,144.97, 7,100 and 2,906.84 is: 4,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.97 : 7,100 = 2,906.84 : x
  2. Step 2: Convert to fraction form
    5,144.97/7,100 = 2,906.84/x
  3. Step 3: Cross multiply
    5,144.97x = 7,100 × 2,906.84
  4. Step 4: Simplify right side
    5,144.97x = 20,638,564
  5. Step 5: Solve for x
    x = 20,638,564/5,144.97
  6. Step 6: Final answer
    x = 4,011.41

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1.5x scale

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.