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Finding the Fourth Proportional to 7,049.20, 10,552.20 and 5,105.20

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Solution

The fourth proportional to 7,049.20, 10,552.20 and 5,105.20 is: 7,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.20 : 10,552.20 = 5,105.20 : x
  2. Step 2: Convert to fraction form
    7,049.20/10,552.20 = 5,105.20/x
  3. Step 3: Cross multiply
    7,049.20x = 10,552.20 × 5,105.20
  4. Step 4: Simplify right side
    7,049.20x = 53,871,091.44
  5. Step 5: Solve for x
    x = 53,871,091.44/7,049.20
  6. Step 6: Final answer
    x = 7,642.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.