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Finding the Fourth Proportional to 6,378.24, 8,801.28 and 3,893.76

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Solution

The fourth proportional to 6,378.24, 8,801.28 and 3,893.76 is: 5,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.24 : 8,801.28 = 3,893.76 : x
  2. Step 2: Convert to fraction form
    6,378.24/8,801.28 = 3,893.76/x
  3. Step 3: Cross multiply
    6,378.24x = 8,801.28 × 3,893.76
  4. Step 4: Simplify right side
    6,378.24x = 34,270,072.01
  5. Step 5: Solve for x
    x = 34,270,072.01/6,378.24
  6. Step 6: Final answer
    x = 5,372.97

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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.