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Finding the Fourth Proportional to 7,180.70, 9,905.22 and 4,487.24

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Solution

The fourth proportional to 7,180.70, 9,905.22 and 4,487.24 is: 6,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.70 : 9,905.22 = 4,487.24 : x
  2. Step 2: Convert to fraction form
    7,180.70/9,905.22 = 4,487.24/x
  3. Step 3: Cross multiply
    7,180.70x = 9,905.22 × 4,487.24
  4. Step 4: Simplify right side
    7,180.70x = 44,447,049.87
  5. Step 5: Solve for x
    x = 44,447,049.87/7,180.70
  6. Step 6: Final answer
    x = 6,189.80

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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.