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Finding the Fourth Proportional to 11,911.70, 17,908.06 and 9,736.22

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Solution

The fourth proportional to 11,911.70, 17,908.06 and 9,736.22 is: 14,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.70 : 17,908.06 = 9,736.22 : x
  2. Step 2: Convert to fraction form
    11,911.70/17,908.06 = 9,736.22/x
  3. Step 3: Cross multiply
    11,911.70x = 17,908.06 × 9,736.22
  4. Step 4: Simplify right side
    11,911.70x = 174,356,811.93
  5. Step 5: Solve for x
    x = 174,356,811.93/11,911.70
  6. Step 6: Final answer
    x = 14,637.44

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1.5x scale

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.