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Finding the Fourth Proportional to 12,351.17, 17,042.78 and 7,503.38

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Solution

The fourth proportional to 12,351.17, 17,042.78 and 7,503.38 is: 10,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.17 : 17,042.78 = 7,503.38 : x
  2. Step 2: Convert to fraction form
    12,351.17/17,042.78 = 7,503.38/x
  3. Step 3: Cross multiply
    12,351.17x = 17,042.78 × 7,503.38
  4. Step 4: Simplify right side
    12,351.17x = 127,878,331.87
  5. Step 5: Solve for x
    x = 127,878,331.87/12,351.17
  6. Step 6: Final answer
    x = 10,353.54

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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.