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Finding the Fourth Proportional to 7,749.93, 10,694.97 and 4,213.21

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Solution

The fourth proportional to 7,749.93, 10,694.97 and 4,213.21 is: 5,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.93 : 10,694.97 = 4,213.21 : x
  2. Step 2: Convert to fraction form
    7,749.93/10,694.97 = 4,213.21/x
  3. Step 3: Cross multiply
    7,749.93x = 10,694.97 × 4,213.21
  4. Step 4: Simplify right side
    7,749.93x = 45,060,203.78
  5. Step 5: Solve for x
    x = 45,060,203.78/7,749.93
  6. Step 6: Final answer
    x = 5,814.28

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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.