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Finding the Fourth Proportional to 12,446.68, 17,176.62 and 6,857.68

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Solution

The fourth proportional to 12,446.68, 17,176.62 and 6,857.68 is: 9,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.68 : 17,176.62 = 6,857.68 : x
  2. Step 2: Convert to fraction form
    12,446.68/17,176.62 = 6,857.68/x
  3. Step 3: Cross multiply
    12,446.68x = 17,176.62 × 6,857.68
  4. Step 4: Simplify right side
    12,446.68x = 117,791,763.44
  5. Step 5: Solve for x
    x = 117,791,763.44/12,446.68
  6. Step 6: Final answer
    x = 9,463.71

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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.