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Finding the Fourth Proportional to 5,380, 7,425.22 and 3,285.34

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Solution

The fourth proportional to 5,380, 7,425.22 and 3,285.34 is: 4,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380 : 7,425.22 = 3,285.34 : x
  2. Step 2: Convert to fraction form
    5,380/7,425.22 = 3,285.34/x
  3. Step 3: Cross multiply
    5,380x = 7,425.22 × 3,285.34
  4. Step 4: Simplify right side
    5,380x = 24,394,372.27
  5. Step 5: Solve for x
    x = 24,394,372.27/5,380
  6. Step 6: Final answer
    x = 4,534.27

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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.