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Finding the Fourth Proportional to 27,830.32, 41,741.44 and 9,111.09

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Solution

The fourth proportional to 27,830.32, 41,741.44 and 9,111.09 is: 13,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.32 : 41,741.44 = 9,111.09 : x
  2. Step 2: Convert to fraction form
    27,830.32/41,741.44 = 9,111.09/x
  3. Step 3: Cross multiply
    27,830.32x = 41,741.44 × 9,111.09
  4. Step 4: Simplify right side
    27,830.32x = 380,310,016.57
  5. Step 5: Solve for x
    x = 380,310,016.57/27,830.32
  6. Step 6: Final answer
    x = 13,665.31

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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.