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Finding the Fourth Proportional to 2,073.63, 3,110.54 and 774.39

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Solution

The fourth proportional to 2,073.63, 3,110.54 and 774.39 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.63 : 3,110.54 = 774.39 : x
  2. Step 2: Convert to fraction form
    2,073.63/3,110.54 = 774.39/x
  3. Step 3: Cross multiply
    2,073.63x = 3,110.54 × 774.39
  4. Step 4: Simplify right side
    2,073.63x = 2,408,767.20
  5. Step 5: Solve for x
    x = 2,408,767.20/2,073.63
  6. Step 6: Final answer
    x = 1,161.62

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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.