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Finding the Fourth Proportional to 11,850.78, 17,783.05 and 7,180.11

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Solution

The fourth proportional to 11,850.78, 17,783.05 and 7,180.11 is: 10,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.78 : 17,783.05 = 7,180.11 : x
  2. Step 2: Convert to fraction form
    11,850.78/17,783.05 = 7,180.11/x
  3. Step 3: Cross multiply
    11,850.78x = 17,783.05 × 7,180.11
  4. Step 4: Simplify right side
    11,850.78x = 127,684,255.14
  5. Step 5: Solve for x
    x = 127,684,255.14/11,850.78
  6. Step 6: Final answer
    x = 10,774.33

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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.