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Finding the Fourth Proportional to 12,835.36, 17,711.77 and 7,169.66

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Solution

The fourth proportional to 12,835.36, 17,711.77 and 7,169.66 is: 9,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.36 : 17,711.77 = 7,169.66 : x
  2. Step 2: Convert to fraction form
    12,835.36/17,711.77 = 7,169.66/x
  3. Step 3: Cross multiply
    12,835.36x = 17,711.77 × 7,169.66
  4. Step 4: Simplify right side
    12,835.36x = 126,987,244.49
  5. Step 5: Solve for x
    x = 126,987,244.49/12,835.36
  6. Step 6: Final answer
    x = 9,893.55

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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.