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Finding the Fourth Proportional to 11,779, 17,670.13 and 3,457.85

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Solution

The fourth proportional to 11,779, 17,670.13 and 3,457.85 is: 5,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 17,670.13 = 3,457.85 : x
  2. Step 2: Convert to fraction form
    11,779/17,670.13 = 3,457.85/x
  3. Step 3: Cross multiply
    11,779x = 17,670.13 × 3,457.85
  4. Step 4: Simplify right side
    11,779x = 61,100,659.02
  5. Step 5: Solve for x
    x = 61,100,659.02/11,779
  6. Step 6: Final answer
    x = 5,187.25

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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.