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Finding the Fourth Proportional to 9,144.93, 13,714.64 and 3,879.83

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Solution

The fourth proportional to 9,144.93, 13,714.64 and 3,879.83 is: 5,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.93 : 13,714.64 = 3,879.83 : x
  2. Step 2: Convert to fraction form
    9,144.93/13,714.64 = 3,879.83/x
  3. Step 3: Cross multiply
    9,144.93x = 13,714.64 × 3,879.83
  4. Step 4: Simplify right side
    9,144.93x = 53,210,383.74
  5. Step 5: Solve for x
    x = 53,210,383.74/9,144.93
  6. Step 6: Final answer
    x = 5,818.57

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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.