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Finding the Fourth Proportional to 11,397, 15,736.50 and 11,022.60

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Solution

The fourth proportional to 11,397, 15,736.50 and 11,022.60 is: 15,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 15,736.50 = 11,022.60 : x
  2. Step 2: Convert to fraction form
    11,397/15,736.50 = 11,022.60/x
  3. Step 3: Cross multiply
    11,397x = 15,736.50 × 11,022.60
  4. Step 4: Simplify right side
    11,397x = 173,457,144.90
  5. Step 5: Solve for x
    x = 173,457,144.90/11,397
  6. Step 6: Final answer
    x = 15,219.54

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1.5x scale

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.