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Finding the Fourth Proportional to 12,343.70, 17,034.23 and 6,678.43

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Solution

The fourth proportional to 12,343.70, 17,034.23 and 6,678.43 is: 9,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.70 : 17,034.23 = 6,678.43 : x
  2. Step 2: Convert to fraction form
    12,343.70/17,034.23 = 6,678.43/x
  3. Step 3: Cross multiply
    12,343.70x = 17,034.23 × 6,678.43
  4. Step 4: Simplify right side
    12,343.70x = 113,761,912.66
  5. Step 5: Solve for x
    x = 113,761,912.66/12,343.70
  6. Step 6: Final answer
    x = 9,216.19

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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.