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Finding the Fourth Proportional to 11,915.64, 17,873.64 and 5,676.30

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Solution

The fourth proportional to 11,915.64, 17,873.64 and 5,676.30 is: 8,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.64 : 17,873.64 = 5,676.30 : x
  2. Step 2: Convert to fraction form
    11,915.64/17,873.64 = 5,676.30/x
  3. Step 3: Cross multiply
    11,915.64x = 17,873.64 × 5,676.30
  4. Step 4: Simplify right side
    11,915.64x = 101,456,142.73
  5. Step 5: Solve for x
    x = 101,456,142.73/11,915.64
  6. Step 6: Final answer
    x = 8,514.54

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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.