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Finding the Fourth Proportional to 17,814.60, 26,713.80 and 7,948.80

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Solution

The fourth proportional to 17,814.60, 26,713.80 and 7,948.80 is: 11,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.60 : 26,713.80 = 7,948.80 : x
  2. Step 2: Convert to fraction form
    17,814.60/26,713.80 = 7,948.80/x
  3. Step 3: Cross multiply
    17,814.60x = 26,713.80 × 7,948.80
  4. Step 4: Simplify right side
    17,814.60x = 212,342,653.44
  5. Step 5: Solve for x
    x = 212,342,653.44/17,814.60
  6. Step 6: Final answer
    x = 11,919.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.