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Finding the Fourth Proportional to 11,396.81, 17,039.01 and 9,661.18

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Solution

The fourth proportional to 11,396.81, 17,039.01 and 9,661.18 is: 14,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.81 : 17,039.01 = 9,661.18 : x
  2. Step 2: Convert to fraction form
    11,396.81/17,039.01 = 9,661.18/x
  3. Step 3: Cross multiply
    11,396.81x = 17,039.01 × 9,661.18
  4. Step 4: Simplify right side
    11,396.81x = 164,616,942.63
  5. Step 5: Solve for x
    x = 164,616,942.63/11,396.81
  6. Step 6: Final answer
    x = 14,444.13

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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.