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Finding the Fourth Proportional to 5,297.91, 7,311.12 and 2,940.05

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Solution

The fourth proportional to 5,297.91, 7,311.12 and 2,940.05 is: 4,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.91 : 7,311.12 = 2,940.05 : x
  2. Step 2: Convert to fraction form
    5,297.91/7,311.12 = 2,940.05/x
  3. Step 3: Cross multiply
    5,297.91x = 7,311.12 × 2,940.05
  4. Step 4: Simplify right side
    5,297.91x = 21,495,076.63
  5. Step 5: Solve for x
    x = 21,495,076.63/5,297.91
  6. Step 6: Final answer
    x = 4,057.27

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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.