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Finding the Fourth Proportional to 2,161.58, 3,242.09 and 991.22

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Solution

The fourth proportional to 2,161.58, 3,242.09 and 991.22 is: 1,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.58 : 3,242.09 = 991.22 : x
  2. Step 2: Convert to fraction form
    2,161.58/3,242.09 = 991.22/x
  3. Step 3: Cross multiply
    2,161.58x = 3,242.09 × 991.22
  4. Step 4: Simplify right side
    2,161.58x = 3,213,603.28
  5. Step 5: Solve for x
    x = 3,213,603.28/2,161.58
  6. Step 6: Final answer
    x = 1,486.70

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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.