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Finding the Fourth Proportional to 7,781.94, 11,616.45 and 7,203.80

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Solution

The fourth proportional to 7,781.94, 11,616.45 and 7,203.80 is: 10,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.94 : 11,616.45 = 7,203.80 : x
  2. Step 2: Convert to fraction form
    7,781.94/11,616.45 = 7,203.80/x
  3. Step 3: Cross multiply
    7,781.94x = 11,616.45 × 7,203.80
  4. Step 4: Simplify right side
    7,781.94x = 83,682,584.54
  5. Step 5: Solve for x
    x = 83,682,584.54/7,781.94
  6. Step 6: Final answer
    x = 10,753.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.