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Finding the Fourth Proportional to 7,520.53, 10,380 and 4,378.54

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Solution

The fourth proportional to 7,520.53, 10,380 and 4,378.54 is: 6,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.53 : 10,380 = 4,378.54 : x
  2. Step 2: Convert to fraction form
    7,520.53/10,380 = 4,378.54/x
  3. Step 3: Cross multiply
    7,520.53x = 10,380 × 4,378.54
  4. Step 4: Simplify right side
    7,520.53x = 45,449,245.20
  5. Step 5: Solve for x
    x = 45,449,245.20/7,520.53
  6. Step 6: Final answer
    x = 6,043.36

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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.