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Finding the Fourth Proportional to 7,144.98, 10,720.28 and 2,215

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Solution

The fourth proportional to 7,144.98, 10,720.28 and 2,215 is: 3,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.98 : 10,720.28 = 2,215 : x
  2. Step 2: Convert to fraction form
    7,144.98/10,720.28 = 2,215/x
  3. Step 3: Cross multiply
    7,144.98x = 10,720.28 × 2,215
  4. Step 4: Simplify right side
    7,144.98x = 23,745,420.20
  5. Step 5: Solve for x
    x = 23,745,420.20/7,144.98
  6. Step 6: Final answer
    x = 3,323.37

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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.