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Finding the Fourth Proportional to 11,720.66, 17,583.02 and 5,147.51

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Solution

The fourth proportional to 11,720.66, 17,583.02 and 5,147.51 is: 7,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.66 : 17,583.02 = 5,147.51 : x
  2. Step 2: Convert to fraction form
    11,720.66/17,583.02 = 5,147.51/x
  3. Step 3: Cross multiply
    11,720.66x = 17,583.02 × 5,147.51
  4. Step 4: Simplify right side
    11,720.66x = 90,508,771.28
  5. Step 5: Solve for x
    x = 90,508,771.28/11,720.66
  6. Step 6: Final answer
    x = 7,722.16

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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.