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Finding the Fourth Proportional to 7,219.71, 10,829.96 and 2,288.99

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Solution

The fourth proportional to 7,219.71, 10,829.96 and 2,288.99 is: 3,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.71 : 10,829.96 = 2,288.99 : x
  2. Step 2: Convert to fraction form
    7,219.71/10,829.96 = 2,288.99/x
  3. Step 3: Cross multiply
    7,219.71x = 10,829.96 × 2,288.99
  4. Step 4: Simplify right side
    7,219.71x = 24,789,670.14
  5. Step 5: Solve for x
    x = 24,789,670.14/7,219.71
  6. Step 6: Final answer
    x = 3,433.61

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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.