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Finding the Fourth Proportional to 9,682.25, 13,347.99 and 6,489.98

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Solution

The fourth proportional to 9,682.25, 13,347.99 and 6,489.98 is: 8,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.25 : 13,347.99 = 6,489.98 : x
  2. Step 2: Convert to fraction form
    9,682.25/13,347.99 = 6,489.98/x
  3. Step 3: Cross multiply
    9,682.25x = 13,347.99 × 6,489.98
  4. Step 4: Simplify right side
    9,682.25x = 86,628,121.40
  5. Step 5: Solve for x
    x = 86,628,121.40/9,682.25
  6. Step 6: Final answer
    x = 8,947.11

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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.