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Finding the Fourth Proportional to 11,883.84, 17,827.80 and 4,090.80

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Solution

The fourth proportional to 11,883.84, 17,827.80 and 4,090.80 is: 6,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.84 : 17,827.80 = 4,090.80 : x
  2. Step 2: Convert to fraction form
    11,883.84/17,827.80 = 4,090.80/x
  3. Step 3: Cross multiply
    11,883.84x = 17,827.80 × 4,090.80
  4. Step 4: Simplify right side
    11,883.84x = 72,929,964.24
  5. Step 5: Solve for x
    x = 72,929,964.24/11,883.84
  6. Step 6: Final answer
    x = 6,136.90

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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.