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Finding the Fourth Proportional to 20,844, 31,266 and 6,051.78

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Solution

The fourth proportional to 20,844, 31,266 and 6,051.78 is: 9,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844 : 31,266 = 6,051.78 : x
  2. Step 2: Convert to fraction form
    20,844/31,266 = 6,051.78/x
  3. Step 3: Cross multiply
    20,844x = 31,266 × 6,051.78
  4. Step 4: Simplify right side
    20,844x = 189,214,953.48
  5. Step 5: Solve for x
    x = 189,214,953.48/20,844
  6. Step 6: Final answer
    x = 9,077.67

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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.