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Finding the Fourth Proportional to 7,220.25, 10,830.69 and 2,290.25

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Solution

The fourth proportional to 7,220.25, 10,830.69 and 2,290.25 is: 3,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.25 : 10,830.69 = 2,290.25 : x
  2. Step 2: Convert to fraction form
    7,220.25/10,830.69 = 2,290.25/x
  3. Step 3: Cross multiply
    7,220.25x = 10,830.69 × 2,290.25
  4. Step 4: Simplify right side
    7,220.25x = 24,805,014.85
  5. Step 5: Solve for x
    x = 24,805,014.85/7,220.25
  6. Step 6: Final answer
    x = 3,435.48

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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.