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Finding the Fourth Proportional to 11,960.51, 17,951.69 and 9,178.16

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Solution

The fourth proportional to 11,960.51, 17,951.69 and 9,178.16 is: 13,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.51 : 17,951.69 = 9,178.16 : x
  2. Step 2: Convert to fraction form
    11,960.51/17,951.69 = 9,178.16/x
  3. Step 3: Cross multiply
    11,960.51x = 17,951.69 × 9,178.16
  4. Step 4: Simplify right side
    11,960.51x = 164,763,416.28
  5. Step 5: Solve for x
    x = 164,763,416.28/11,960.51
  6. Step 6: Final answer
    x = 13,775.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.