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Finding the Fourth Proportional to 8,739.86, 13,085.37 and 4,722.86

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Solution

The fourth proportional to 8,739.86, 13,085.37 and 4,722.86 is: 7,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.86 : 13,085.37 = 4,722.86 : x
  2. Step 2: Convert to fraction form
    8,739.86/13,085.37 = 4,722.86/x
  3. Step 3: Cross multiply
    8,739.86x = 13,085.37 × 4,722.86
  4. Step 4: Simplify right side
    8,739.86x = 61,800,370.56
  5. Step 5: Solve for x
    x = 61,800,370.56/8,739.86
  6. Step 6: Final answer
    x = 7,071.09

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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.