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Finding the Fourth Proportional to 11,720, 17,580 and 3,512

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Solution

The fourth proportional to 11,720, 17,580 and 3,512 is: 5,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720 : 17,580 = 3,512 : x
  2. Step 2: Convert to fraction form
    11,720/17,580 = 3,512/x
  3. Step 3: Cross multiply
    11,720x = 17,580 × 3,512
  4. Step 4: Simplify right side
    11,720x = 61,740,960
  5. Step 5: Solve for x
    x = 61,740,960/11,720
  6. Step 6: Final answer
    x = 5,268

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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.