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Finding the Fourth Proportional to 1,401.78, 1,935.11 and 812.21

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Solution

The fourth proportional to 1,401.78, 1,935.11 and 812.21 is: 1,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.78 : 1,935.11 = 812.21 : x
  2. Step 2: Convert to fraction form
    1,401.78/1,935.11 = 812.21/x
  3. Step 3: Cross multiply
    1,401.78x = 1,935.11 × 812.21
  4. Step 4: Simplify right side
    1,401.78x = 1,571,708.05
  5. Step 5: Solve for x
    x = 1,571,708.05/1,401.78
  6. Step 6: Final answer
    x = 1,121.22

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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.