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Finding the Fourth Proportional to 6,287.82, 9,433.07 and 1,905.61

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Solution

The fourth proportional to 6,287.82, 9,433.07 and 1,905.61 is: 2,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.82 : 9,433.07 = 1,905.61 : x
  2. Step 2: Convert to fraction form
    6,287.82/9,433.07 = 1,905.61/x
  3. Step 3: Cross multiply
    6,287.82x = 9,433.07 × 1,905.61
  4. Step 4: Simplify right side
    6,287.82x = 17,975,752.52
  5. Step 5: Solve for x
    x = 17,975,752.52/6,287.82
  6. Step 6: Final answer
    x = 2,858.82

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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.