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Finding the Fourth Proportional to 12,186.74, 16,817.42 and 6,881.42

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Solution

The fourth proportional to 12,186.74, 16,817.42 and 6,881.42 is: 9,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.74 : 16,817.42 = 6,881.42 : x
  2. Step 2: Convert to fraction form
    12,186.74/16,817.42 = 6,881.42/x
  3. Step 3: Cross multiply
    12,186.74x = 16,817.42 × 6,881.42
  4. Step 4: Simplify right side
    12,186.74x = 115,727,730.34
  5. Step 5: Solve for x
    x = 115,727,730.34/12,186.74
  6. Step 6: Final answer
    x = 9,496.20

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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.