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Finding the Fourth Proportional to 3,394.50, 4,692.25 and 2,831.69

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Solution

The fourth proportional to 3,394.50, 4,692.25 and 2,831.69 is: 3,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.50 : 4,692.25 = 2,831.69 : x
  2. Step 2: Convert to fraction form
    3,394.50/4,692.25 = 2,831.69/x
  3. Step 3: Cross multiply
    3,394.50x = 4,692.25 × 2,831.69
  4. Step 4: Simplify right side
    3,394.50x = 13,287,010.74
  5. Step 5: Solve for x
    x = 13,287,010.74/3,394.50
  6. Step 6: Final answer
    x = 3,914.27

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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.