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Finding the Fourth Proportional to 11,448.63, 17,170.91 and 5,207.18

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Solution

The fourth proportional to 11,448.63, 17,170.91 and 5,207.18 is: 7,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.63 : 17,170.91 = 5,207.18 : x
  2. Step 2: Convert to fraction form
    11,448.63/17,170.91 = 5,207.18/x
  3. Step 3: Cross multiply
    11,448.63x = 17,170.91 × 5,207.18
  4. Step 4: Simplify right side
    11,448.63x = 89,412,019.13
  5. Step 5: Solve for x
    x = 89,412,019.13/11,448.63
  6. Step 6: Final answer
    x = 7,809.84

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