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Finding the Fourth Proportional to 9,144.70, 13,714.33 and 3,879.64

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Solution

The fourth proportional to 9,144.70, 13,714.33 and 3,879.64 is: 5,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.70 : 13,714.33 = 3,879.64 : x
  2. Step 2: Convert to fraction form
    9,144.70/13,714.33 = 3,879.64/x
  3. Step 3: Cross multiply
    9,144.70x = 13,714.33 × 3,879.64
  4. Step 4: Simplify right side
    9,144.70x = 53,206,599.52
  5. Step 5: Solve for x
    x = 53,206,599.52/9,144.70
  6. Step 6: Final answer
    x = 5,818.30

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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.