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Finding the Fourth Proportional to 11,772.60, 16,247.04 and 7,786.80

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Solution

The fourth proportional to 11,772.60, 16,247.04 and 7,786.80 is: 10,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.60 : 16,247.04 = 7,786.80 : x
  2. Step 2: Convert to fraction form
    11,772.60/16,247.04 = 7,786.80/x
  3. Step 3: Cross multiply
    11,772.60x = 16,247.04 × 7,786.80
  4. Step 4: Simplify right side
    11,772.60x = 126,512,451.07
  5. Step 5: Solve for x
    x = 126,512,451.07/11,772.60
  6. Step 6: Final answer
    x = 10,746.35

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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.