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Finding the Fourth Proportional to 11,085, 16,630.24 and 3,293.78

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Solution

The fourth proportional to 11,085, 16,630.24 and 3,293.78 is: 4,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085 : 16,630.24 = 3,293.78 : x
  2. Step 2: Convert to fraction form
    11,085/16,630.24 = 3,293.78/x
  3. Step 3: Cross multiply
    11,085x = 16,630.24 × 3,293.78
  4. Step 4: Simplify right side
    11,085x = 54,776,351.91
  5. Step 5: Solve for x
    x = 54,776,351.91/11,085
  6. Step 6: Final answer
    x = 4,941.48

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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.