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Finding the Fourth Proportional to 12,960.73, 17,894.42 and 9,971.29

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Solution

The fourth proportional to 12,960.73, 17,894.42 and 9,971.29 is: 13,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.73 : 17,894.42 = 9,971.29 : x
  2. Step 2: Convert to fraction form
    12,960.73/17,894.42 = 9,971.29/x
  3. Step 3: Cross multiply
    12,960.73x = 17,894.42 × 9,971.29
  4. Step 4: Simplify right side
    12,960.73x = 178,430,451.20
  5. Step 5: Solve for x
    x = 178,430,451.20/12,960.73
  6. Step 6: Final answer
    x = 13,767.01

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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.