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Finding the Fourth Proportional to 2,770.22, 4,153.95 and 920.69

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Solution

The fourth proportional to 2,770.22, 4,153.95 and 920.69 is: 1,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.22 : 4,153.95 = 920.69 : x
  2. Step 2: Convert to fraction form
    2,770.22/4,153.95 = 920.69/x
  3. Step 3: Cross multiply
    2,770.22x = 4,153.95 × 920.69
  4. Step 4: Simplify right side
    2,770.22x = 3,824,495.03
  5. Step 5: Solve for x
    x = 3,824,495.03/2,770.22
  6. Step 6: Final answer
    x = 1,380.57

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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.