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Finding the Fourth Proportional to 11,720, 17,584.32 and 6,173.12

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Solution

The fourth proportional to 11,720, 17,584.32 and 6,173.12 is: 9,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720 : 17,584.32 = 6,173.12 : x
  2. Step 2: Convert to fraction form
    11,720/17,584.32 = 6,173.12/x
  3. Step 3: Cross multiply
    11,720x = 17,584.32 × 6,173.12
  4. Step 4: Simplify right side
    11,720x = 108,550,117.48
  5. Step 5: Solve for x
    x = 108,550,117.48/11,720
  6. Step 6: Final answer
    x = 9,261.96

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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.