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Finding the Fourth Proportional to 12,444, 17,171.04 and 7,137.84

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Solution

The fourth proportional to 12,444, 17,171.04 and 7,137.84 is: 9,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444 : 17,171.04 = 7,137.84 : x
  2. Step 2: Convert to fraction form
    12,444/17,171.04 = 7,137.84/x
  3. Step 3: Cross multiply
    12,444x = 17,171.04 × 7,137.84
  4. Step 4: Simplify right side
    12,444x = 122,564,136.15
  5. Step 5: Solve for x
    x = 122,564,136.15/12,444
  6. Step 6: Final answer
    x = 9,849.26

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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.