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Finding the Fourth Proportional to 7,190.28, 9,919.24 and 4,206.24

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Solution

The fourth proportional to 7,190.28, 9,919.24 and 4,206.24 is: 5,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.28 : 9,919.24 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    7,190.28/9,919.24 = 4,206.24/x
  3. Step 3: Cross multiply
    7,190.28x = 9,919.24 × 4,206.24
  4. Step 4: Simplify right side
    7,190.28x = 41,722,704.06
  5. Step 5: Solve for x
    x = 41,722,704.06/7,190.28
  6. Step 6: Final answer
    x = 5,802.65

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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.