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Finding the Fourth Proportional to 2,161.10, 3,241.62 and 774.06

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Solution

The fourth proportional to 2,161.10, 3,241.62 and 774.06 is: 1,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.10 : 3,241.62 = 774.06 : x
  2. Step 2: Convert to fraction form
    2,161.10/3,241.62 = 774.06/x
  3. Step 3: Cross multiply
    2,161.10x = 3,241.62 × 774.06
  4. Step 4: Simplify right side
    2,161.10x = 2,509,208.38
  5. Step 5: Solve for x
    x = 2,509,208.38/2,161.10
  6. Step 6: Final answer
    x = 1,161.08

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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.