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Finding the Fourth Proportional to 20,152.95, 27,808.95 and 11,199

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Solution

The fourth proportional to 20,152.95, 27,808.95 and 11,199 is: 15,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.95 : 27,808.95 = 11,199 : x
  2. Step 2: Convert to fraction form
    20,152.95/27,808.95 = 11,199/x
  3. Step 3: Cross multiply
    20,152.95x = 27,808.95 × 11,199
  4. Step 4: Simplify right side
    20,152.95x = 311,432,431.05
  5. Step 5: Solve for x
    x = 311,432,431.05/20,152.95
  6. Step 6: Final answer
    x = 15,453.44

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Why These Related Problems?

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