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Finding the Fourth Proportional to 12,349, 17,045.94 and 7,381

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Solution

The fourth proportional to 12,349, 17,045.94 and 7,381 is: 10,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349 : 17,045.94 = 7,381 : x
  2. Step 2: Convert to fraction form
    12,349/17,045.94 = 7,381/x
  3. Step 3: Cross multiply
    12,349x = 17,045.94 × 7,381
  4. Step 4: Simplify right side
    12,349x = 125,816,083.14
  5. Step 5: Solve for x
    x = 125,816,083.14/12,349
  6. Step 6: Final answer
    x = 10,188.36

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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.