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Finding the Fourth Proportional to 5,721, 7,898.22 and 4,321.32

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Solution

The fourth proportional to 5,721, 7,898.22 and 4,321.32 is: 5,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721 : 7,898.22 = 4,321.32 : x
  2. Step 2: Convert to fraction form
    5,721/7,898.22 = 4,321.32/x
  3. Step 3: Cross multiply
    5,721x = 7,898.22 × 4,321.32
  4. Step 4: Simplify right side
    5,721x = 34,130,736.05
  5. Step 5: Solve for x
    x = 34,130,736.05/5,721
  6. Step 6: Final answer
    x = 5,965.87

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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.