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Finding the Fourth Proportional to 9,282.26, 12,809.50 and 5,090.50

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Solution

The fourth proportional to 9,282.26, 12,809.50 and 5,090.50 is: 7,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.26 : 12,809.50 = 5,090.50 : x
  2. Step 2: Convert to fraction form
    9,282.26/12,809.50 = 5,090.50/x
  3. Step 3: Cross multiply
    9,282.26x = 12,809.50 × 5,090.50
  4. Step 4: Simplify right side
    9,282.26x = 65,206,759.75
  5. Step 5: Solve for x
    x = 65,206,759.75/9,282.26
  6. Step 6: Final answer
    x = 7,024.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.