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Finding the Fourth Proportional to 6,497.82, 8,965.35 and 3,979.06

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Solution

The fourth proportional to 6,497.82, 8,965.35 and 3,979.06 is: 5,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.82 : 8,965.35 = 3,979.06 : x
  2. Step 2: Convert to fraction form
    6,497.82/8,965.35 = 3,979.06/x
  3. Step 3: Cross multiply
    6,497.82x = 8,965.35 × 3,979.06
  4. Step 4: Simplify right side
    6,497.82x = 35,673,643.16
  5. Step 5: Solve for x
    x = 35,673,643.16/6,497.82
  6. Step 6: Final answer
    x = 5,490.09

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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.