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Finding the Fourth Proportional to 6,496.56, 8,965.90 and 3,980.30

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Solution

The fourth proportional to 6,496.56, 8,965.90 and 3,980.30 is: 5,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.56 : 8,965.90 = 3,980.30 : x
  2. Step 2: Convert to fraction form
    6,496.56/8,965.90 = 3,980.30/x
  3. Step 3: Cross multiply
    6,496.56x = 8,965.90 × 3,980.30
  4. Step 4: Simplify right side
    6,496.56x = 35,686,971.77
  5. Step 5: Solve for x
    x = 35,686,971.77/6,496.56
  6. Step 6: Final answer
    x = 5,493.21

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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.