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Finding the Fourth Proportional to 8,051.56, 11,111.73 and 4,466.70

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Solution

The fourth proportional to 8,051.56, 11,111.73 and 4,466.70 is: 6,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.56 : 11,111.73 = 4,466.70 : x
  2. Step 2: Convert to fraction form
    8,051.56/11,111.73 = 4,466.70/x
  3. Step 3: Cross multiply
    8,051.56x = 11,111.73 × 4,466.70
  4. Step 4: Simplify right side
    8,051.56x = 49,632,764.39
  5. Step 5: Solve for x
    x = 49,632,764.39/8,051.56
  6. Step 6: Final answer
    x = 6,164.37

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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.