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Finding the Fourth Proportional to 7,189.97, 9,920.63 and 4,205.22

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Solution

The fourth proportional to 7,189.97, 9,920.63 and 4,205.22 is: 5,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.97 : 9,920.63 = 4,205.22 : x
  2. Step 2: Convert to fraction form
    7,189.97/9,920.63 = 4,205.22/x
  3. Step 3: Cross multiply
    7,189.97x = 9,920.63 × 4,205.22
  4. Step 4: Simplify right side
    7,189.97x = 41,718,424.75
  5. Step 5: Solve for x
    x = 41,718,424.75/7,189.97
  6. Step 6: Final answer
    x = 5,802.31

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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.