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Finding the Fourth Proportional to 11,965, 17,946.14 and 3,200.60

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Solution

The fourth proportional to 11,965, 17,946.14 and 3,200.60 is: 4,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965 : 17,946.14 = 3,200.60 : x
  2. Step 2: Convert to fraction form
    11,965/17,946.14 = 3,200.60/x
  3. Step 3: Cross multiply
    11,965x = 17,946.14 × 3,200.60
  4. Step 4: Simplify right side
    11,965x = 57,438,415.68
  5. Step 5: Solve for x
    x = 57,438,415.68/11,965
  6. Step 6: Final answer
    x = 4,800.54

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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.