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Finding the Fourth Proportional to 7,189.76, 9,919.94 and 4,206.33

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Solution

The fourth proportional to 7,189.76, 9,919.94 and 4,206.33 is: 5,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.76 : 9,919.94 = 4,206.33 : x
  2. Step 2: Convert to fraction form
    7,189.76/9,919.94 = 4,206.33/x
  3. Step 3: Cross multiply
    7,189.76x = 9,919.94 × 4,206.33
  4. Step 4: Simplify right side
    7,189.76x = 41,726,520.19
  5. Step 5: Solve for x
    x = 41,726,520.19/7,189.76
  6. Step 6: Final answer
    x = 5,803.60

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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.