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Finding the Fourth Proportional to 7,208.50, 10,812.84 and 2,591.50

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Solution

The fourth proportional to 7,208.50, 10,812.84 and 2,591.50 is: 3,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.50 : 10,812.84 = 2,591.50 : x
  2. Step 2: Convert to fraction form
    7,208.50/10,812.84 = 2,591.50/x
  3. Step 3: Cross multiply
    7,208.50x = 10,812.84 × 2,591.50
  4. Step 4: Simplify right side
    7,208.50x = 28,021,474.86
  5. Step 5: Solve for x
    x = 28,021,474.86/7,208.50
  6. Step 6: Final answer
    x = 3,887.28

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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.