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Finding the Fourth Proportional to 20,182.85, 27,852.48 and 11,230.46

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Solution

The fourth proportional to 20,182.85, 27,852.48 and 11,230.46 is: 15,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.85 : 27,852.48 = 11,230.46 : x
  2. Step 2: Convert to fraction form
    20,182.85/27,852.48 = 11,230.46/x
  3. Step 3: Cross multiply
    20,182.85x = 27,852.48 × 11,230.46
  4. Step 4: Simplify right side
    20,182.85x = 312,796,023.28
  5. Step 5: Solve for x
    x = 312,796,023.28/20,182.85
  6. Step 6: Final answer
    x = 15,498.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.