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Finding the Fourth Proportional to 11,847.72, 17,765.78 and 6,918.60

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Solution

The fourth proportional to 11,847.72, 17,765.78 and 6,918.60 is: 10,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.72 : 17,765.78 = 6,918.60 : x
  2. Step 2: Convert to fraction form
    11,847.72/17,765.78 = 6,918.60/x
  3. Step 3: Cross multiply
    11,847.72x = 17,765.78 × 6,918.60
  4. Step 4: Simplify right side
    11,847.72x = 122,914,325.51
  5. Step 5: Solve for x
    x = 122,914,325.51/11,847.72
  6. Step 6: Final answer
    x = 10,374.51

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1.5x scale

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.