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Finding the Fourth Proportional to 12,934, 17,848.92 and 7,345

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Solution

The fourth proportional to 12,934, 17,848.92 and 7,345 is: 10,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934 : 17,848.92 = 7,345 : x
  2. Step 2: Convert to fraction form
    12,934/17,848.92 = 7,345/x
  3. Step 3: Cross multiply
    12,934x = 17,848.92 × 7,345
  4. Step 4: Simplify right side
    12,934x = 131,100,317.40
  5. Step 5: Solve for x
    x = 131,100,317.40/12,934
  6. Step 6: Final answer
    x = 10,136.10

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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.