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Finding the Fourth Proportional to 11,812.88, 17,719.38 and 3,047.19

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Solution

The fourth proportional to 11,812.88, 17,719.38 and 3,047.19 is: 4,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.88 : 17,719.38 = 3,047.19 : x
  2. Step 2: Convert to fraction form
    11,812.88/17,719.38 = 3,047.19/x
  3. Step 3: Cross multiply
    11,812.88x = 17,719.38 × 3,047.19
  4. Step 4: Simplify right side
    11,812.88x = 53,994,317.54
  5. Step 5: Solve for x
    x = 53,994,317.54/11,812.88
  6. Step 6: Final answer
    x = 4,570.80

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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.