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Finding the Fourth Proportional to 18,670.98, 27,977.30 and 10,778.34

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Solution

The fourth proportional to 18,670.98, 27,977.30 and 10,778.34 is: 16,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,670.98 : 27,977.30 = 10,778.34 : x
  2. Step 2: Convert to fraction form
    18,670.98/27,977.30 = 10,778.34/x
  3. Step 3: Cross multiply
    18,670.98x = 27,977.30 × 10,778.34
  4. Step 4: Simplify right side
    18,670.98x = 301,548,851.68
  5. Step 5: Solve for x
    x = 301,548,851.68/18,670.98
  6. Step 6: Final answer
    x = 16,150.67

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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.