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Finding the Fourth Proportional to 11,782.78, 17,659.58 and 5,936.20

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Solution

The fourth proportional to 11,782.78, 17,659.58 and 5,936.20 is: 8,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.78 : 17,659.58 = 5,936.20 : x
  2. Step 2: Convert to fraction form
    11,782.78/17,659.58 = 5,936.20/x
  3. Step 3: Cross multiply
    11,782.78x = 17,659.58 × 5,936.20
  4. Step 4: Simplify right side
    11,782.78x = 104,830,798.80
  5. Step 5: Solve for x
    x = 104,830,798.80/11,782.78
  6. Step 6: Final answer
    x = 8,896.95

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1.5x scale

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.