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Finding the Fourth Proportional to 11,693.88, 17,609.64 and 8,429.94

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Solution

The fourth proportional to 11,693.88, 17,609.64 and 8,429.94 is: 12,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.88 : 17,609.64 = 8,429.94 : x
  2. Step 2: Convert to fraction form
    11,693.88/17,609.64 = 8,429.94/x
  3. Step 3: Cross multiply
    11,693.88x = 17,609.64 × 8,429.94
  4. Step 4: Simplify right side
    11,693.88x = 148,448,208.62
  5. Step 5: Solve for x
    x = 148,448,208.62/11,693.88
  6. Step 6: Final answer
    x = 12,694.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.