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Finding the Fourth Proportional to 11,851.80, 17,785.80 and 6,586.80

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Solution

The fourth proportional to 11,851.80, 17,785.80 and 6,586.80 is: 9,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.80 : 17,785.80 = 6,586.80 : x
  2. Step 2: Convert to fraction form
    11,851.80/17,785.80 = 6,586.80/x
  3. Step 3: Cross multiply
    11,851.80x = 17,785.80 × 6,586.80
  4. Step 4: Simplify right side
    11,851.80x = 117,151,507.44
  5. Step 5: Solve for x
    x = 117,151,507.44/11,851.80
  6. Step 6: Final answer
    x = 9,884.70

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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.