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Finding the Fourth Proportional to 6,497.40, 8,963.02 and 3,840.20

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Solution

The fourth proportional to 6,497.40, 8,963.02 and 3,840.20 is: 5,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.40 : 8,963.02 = 3,840.20 : x
  2. Step 2: Convert to fraction form
    6,497.40/8,963.02 = 3,840.20/x
  3. Step 3: Cross multiply
    6,497.40x = 8,963.02 × 3,840.20
  4. Step 4: Simplify right side
    6,497.40x = 34,419,789.40
  5. Step 5: Solve for x
    x = 34,419,789.40/6,497.40
  6. Step 6: Final answer
    x = 5,297.47

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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.