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Finding the Fourth Proportional to 1,401.26, 1,933.74 and 812.13

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Solution

The fourth proportional to 1,401.26, 1,933.74 and 812.13 is: 1,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.26 : 1,933.74 = 812.13 : x
  2. Step 2: Convert to fraction form
    1,401.26/1,933.74 = 812.13/x
  3. Step 3: Cross multiply
    1,401.26x = 1,933.74 × 812.13
  4. Step 4: Simplify right side
    1,401.26x = 1,570,453.90
  5. Step 5: Solve for x
    x = 1,570,453.90/1,401.26
  6. Step 6: Final answer
    x = 1,120.75

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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.