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Finding the Fourth Proportional to 5,684.48, 7,843.68 and 3,200

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Solution

The fourth proportional to 5,684.48, 7,843.68 and 3,200 is: 4,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.48 : 7,843.68 = 3,200 : x
  2. Step 2: Convert to fraction form
    5,684.48/7,843.68 = 3,200/x
  3. Step 3: Cross multiply
    5,684.48x = 7,843.68 × 3,200
  4. Step 4: Simplify right side
    5,684.48x = 25,099,776
  5. Step 5: Solve for x
    x = 25,099,776/5,684.48
  6. Step 6: Final answer
    x = 4,415.49

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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.