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Finding the Fourth Proportional to 7,219.97, 10,830.34 and 2,290

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Solution

The fourth proportional to 7,219.97, 10,830.34 and 2,290 is: 3,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.97 : 10,830.34 = 2,290 : x
  2. Step 2: Convert to fraction form
    7,219.97/10,830.34 = 2,290/x
  3. Step 3: Cross multiply
    7,219.97x = 10,830.34 × 2,290
  4. Step 4: Simplify right side
    7,219.97x = 24,801,478.60
  5. Step 5: Solve for x
    x = 24,801,478.60/7,219.97
  6. Step 6: Final answer
    x = 3,435.12

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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.