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Finding the Fourth Proportional to 11,779, 16,255.62 and 7,063.60

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Solution

The fourth proportional to 11,779, 16,255.62 and 7,063.60 is: 9,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 16,255.62 = 7,063.60 : x
  2. Step 2: Convert to fraction form
    11,779/16,255.62 = 7,063.60/x
  3. Step 3: Cross multiply
    11,779x = 16,255.62 × 7,063.60
  4. Step 4: Simplify right side
    11,779x = 114,823,197.43
  5. Step 5: Solve for x
    x = 114,823,197.43/11,779
  6. Step 6: Final answer
    x = 9,748.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.