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Finding the Fourth Proportional to 6,497.20, 8,965.20 and 3,702.64

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Solution

The fourth proportional to 6,497.20, 8,965.20 and 3,702.64 is: 5,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.20 : 8,965.20 = 3,702.64 : x
  2. Step 2: Convert to fraction form
    6,497.20/8,965.20 = 3,702.64/x
  3. Step 3: Cross multiply
    6,497.20x = 8,965.20 × 3,702.64
  4. Step 4: Simplify right side
    6,497.20x = 33,194,908.13
  5. Step 5: Solve for x
    x = 33,194,908.13/6,497.20
  6. Step 6: Final answer
    x = 5,109.11

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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.