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Finding the Fourth Proportional to 7,190.19, 9,919.62 and 5,306.22

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Solution

The fourth proportional to 7,190.19, 9,919.62 and 5,306.22 is: 7,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.19 : 9,919.62 = 5,306.22 : x
  2. Step 2: Convert to fraction form
    7,190.19/9,919.62 = 5,306.22/x
  3. Step 3: Cross multiply
    7,190.19x = 9,919.62 × 5,306.22
  4. Step 4: Simplify right side
    7,190.19x = 52,635,686.04
  5. Step 5: Solve for x
    x = 52,635,686.04/7,190.19
  6. Step 6: Final answer
    x = 7,320.49

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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.