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Finding the Fourth Proportional to 12,424, 17,136.44 and 8,173.72

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Solution

The fourth proportional to 12,424, 17,136.44 and 8,173.72 is: 11,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424 : 17,136.44 = 8,173.72 : x
  2. Step 2: Convert to fraction form
    12,424/17,136.44 = 8,173.72/x
  3. Step 3: Cross multiply
    12,424x = 17,136.44 × 8,173.72
  4. Step 4: Simplify right side
    12,424x = 140,068,462.36
  5. Step 5: Solve for x
    x = 140,068,462.36/12,424
  6. Step 6: Final answer
    x = 11,274.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.