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Finding the Fourth Proportional to 6,857.60, 10,287.84 and 2,240

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Solution

The fourth proportional to 6,857.60, 10,287.84 and 2,240 is: 3,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.60 : 10,287.84 = 2,240 : x
  2. Step 2: Convert to fraction form
    6,857.60/10,287.84 = 2,240/x
  3. Step 3: Cross multiply
    6,857.60x = 10,287.84 × 2,240
  4. Step 4: Simplify right side
    6,857.60x = 23,044,761.60
  5. Step 5: Solve for x
    x = 23,044,761.60/6,857.60
  6. Step 6: Final answer
    x = 3,360.47

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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.