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Finding the Fourth Proportional to 12,754.84, 17,596.82 and 9,405.68

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Solution

The fourth proportional to 12,754.84, 17,596.82 and 9,405.68 is: 12,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.84 : 17,596.82 = 9,405.68 : x
  2. Step 2: Convert to fraction form
    12,754.84/17,596.82 = 9,405.68/x
  3. Step 3: Cross multiply
    12,754.84x = 17,596.82 × 9,405.68
  4. Step 4: Simplify right side
    12,754.84x = 165,510,057.94
  5. Step 5: Solve for x
    x = 165,510,057.94/12,754.84
  6. Step 6: Final answer
    x = 12,976.26

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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.