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Finding the Fourth Proportional to 5,297.97, 7,311.44 and 2,939.97

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Solution

The fourth proportional to 5,297.97, 7,311.44 and 2,939.97 is: 4,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.97 : 7,311.44 = 2,939.97 : x
  2. Step 2: Convert to fraction form
    5,297.97/7,311.44 = 2,939.97/x
  3. Step 3: Cross multiply
    5,297.97x = 7,311.44 × 2,939.97
  4. Step 4: Simplify right side
    5,297.97x = 21,495,421.61
  5. Step 5: Solve for x
    x = 21,495,421.61/5,297.97
  6. Step 6: Final answer
    x = 4,057.29

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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.