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Finding the Fourth Proportional to 7,469, 11,204.82 and 2,539.16

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Solution

The fourth proportional to 7,469, 11,204.82 and 2,539.16 is: 3,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469 : 11,204.82 = 2,539.16 : x
  2. Step 2: Convert to fraction form
    7,469/11,204.82 = 2,539.16/x
  3. Step 3: Cross multiply
    7,469x = 11,204.82 × 2,539.16
  4. Step 4: Simplify right side
    7,469x = 28,450,830.75
  5. Step 5: Solve for x
    x = 28,450,830.75/7,469
  6. Step 6: Final answer
    x = 3,809.19

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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.