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Finding the Fourth Proportional to 12,146.84, 16,770.38 and 9,914.04

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Solution

The fourth proportional to 12,146.84, 16,770.38 and 9,914.04 is: 13,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.84 : 16,770.38 = 9,914.04 : x
  2. Step 2: Convert to fraction form
    12,146.84/16,770.38 = 9,914.04/x
  3. Step 3: Cross multiply
    12,146.84x = 16,770.38 × 9,914.04
  4. Step 4: Simplify right side
    12,146.84x = 166,262,218.14
  5. Step 5: Solve for x
    x = 166,262,218.14/12,146.84
  6. Step 6: Final answer
    x = 13,687.69

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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.