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Finding the Fourth Proportional to 11,784.84, 17,642.70 and 7,136.52

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Solution

The fourth proportional to 11,784.84, 17,642.70 and 7,136.52 is: 10,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.84 : 17,642.70 = 7,136.52 : x
  2. Step 2: Convert to fraction form
    11,784.84/17,642.70 = 7,136.52/x
  3. Step 3: Cross multiply
    11,784.84x = 17,642.70 × 7,136.52
  4. Step 4: Simplify right side
    11,784.84x = 125,907,481.40
  5. Step 5: Solve for x
    x = 125,907,481.40/11,784.84
  6. Step 6: Final answer
    x = 10,683.85

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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.