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Finding the Fourth Proportional to 2,418.04, 3,626.82 and 774.28

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Solution

The fourth proportional to 2,418.04, 3,626.82 and 774.28 is: 1,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.04 : 3,626.82 = 774.28 : x
  2. Step 2: Convert to fraction form
    2,418.04/3,626.82 = 774.28/x
  3. Step 3: Cross multiply
    2,418.04x = 3,626.82 × 774.28
  4. Step 4: Simplify right side
    2,418.04x = 2,808,174.19
  5. Step 5: Solve for x
    x = 2,808,174.19/2,418.04
  6. Step 6: Final answer
    x = 1,161.34

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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.