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Finding the Fourth Proportional to 11,519.60, 17,256.12 and 7,071.60

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Solution

The fourth proportional to 11,519.60, 17,256.12 and 7,071.60 is: 10,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.60 : 17,256.12 = 7,071.60 : x
  2. Step 2: Convert to fraction form
    11,519.60/17,256.12 = 7,071.60/x
  3. Step 3: Cross multiply
    11,519.60x = 17,256.12 × 7,071.60
  4. Step 4: Simplify right side
    11,519.60x = 122,028,378.19
  5. Step 5: Solve for x
    x = 122,028,378.19/11,519.60
  6. Step 6: Final answer
    x = 10,593.11

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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.