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Finding the Fourth Proportional to 6,822.76, 9,415.42 and 3,838.76

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Solution

The fourth proportional to 6,822.76, 9,415.42 and 3,838.76 is: 5,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.76 : 9,415.42 = 3,838.76 : x
  2. Step 2: Convert to fraction form
    6,822.76/9,415.42 = 3,838.76/x
  3. Step 3: Cross multiply
    6,822.76x = 9,415.42 × 3,838.76
  4. Step 4: Simplify right side
    6,822.76x = 36,143,537.68
  5. Step 5: Solve for x
    x = 36,143,537.68/6,822.76
  6. Step 6: Final answer
    x = 5,297.50

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1.5x scale

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.