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Finding the Fourth Proportional to 2,131.95, 3,197.16 and 816.07

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Solution

The fourth proportional to 2,131.95, 3,197.16 and 816.07 is: 1,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.95 : 3,197.16 = 816.07 : x
  2. Step 2: Convert to fraction form
    2,131.95/3,197.16 = 816.07/x
  3. Step 3: Cross multiply
    2,131.95x = 3,197.16 × 816.07
  4. Step 4: Simplify right side
    2,131.95x = 2,609,102.28
  5. Step 5: Solve for x
    x = 2,609,102.28/2,131.95
  6. Step 6: Final answer
    x = 1,223.81

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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.