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Finding the Fourth Proportional to 9,379.75, 12,944.27 and 5,400.22

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Solution

The fourth proportional to 9,379.75, 12,944.27 and 5,400.22 is: 7,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.75 : 12,944.27 = 5,400.22 : x
  2. Step 2: Convert to fraction form
    9,379.75/12,944.27 = 5,400.22/x
  3. Step 3: Cross multiply
    9,379.75x = 12,944.27 × 5,400.22
  4. Step 4: Simplify right side
    9,379.75x = 69,901,905.74
  5. Step 5: Solve for x
    x = 69,901,905.74/9,379.75
  6. Step 6: Final answer
    x = 7,452.43

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1.5x scale

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.