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Finding the Fourth Proportional to 3,400.78, 4,692.93 and 1,984.55

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Solution

The fourth proportional to 3,400.78, 4,692.93 and 1,984.55 is: 2,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.78 : 4,692.93 = 1,984.55 : x
  2. Step 2: Convert to fraction form
    3,400.78/4,692.93 = 1,984.55/x
  3. Step 3: Cross multiply
    3,400.78x = 4,692.93 × 1,984.55
  4. Step 4: Simplify right side
    3,400.78x = 9,313,330.77
  5. Step 5: Solve for x
    x = 9,313,330.77/3,400.78
  6. Step 6: Final answer
    x = 2,738.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.