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Finding the Fourth Proportional to 9,144.75, 13,714.43 and 3,879.70

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Solution

The fourth proportional to 9,144.75, 13,714.43 and 3,879.70 is: 5,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.75 : 13,714.43 = 3,879.70 : x
  2. Step 2: Convert to fraction form
    9,144.75/13,714.43 = 3,879.70/x
  3. Step 3: Cross multiply
    9,144.75x = 13,714.43 × 3,879.70
  4. Step 4: Simplify right side
    9,144.75x = 53,207,820.39
  5. Step 5: Solve for x
    x = 53,207,820.39/9,144.75
  6. Step 6: Final answer
    x = 5,818.40

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1.5x scale

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.