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Finding the Fourth Proportional to 3,311.84, 4,569.88 and 1,984.84

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Solution

The fourth proportional to 3,311.84, 4,569.88 and 1,984.84 is: 2,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.84 : 4,569.88 = 1,984.84 : x
  2. Step 2: Convert to fraction form
    3,311.84/4,569.88 = 1,984.84/x
  3. Step 3: Cross multiply
    3,311.84x = 4,569.88 × 1,984.84
  4. Step 4: Simplify right side
    3,311.84x = 9,070,480.62
  5. Step 5: Solve for x
    x = 9,070,480.62/3,311.84
  6. Step 6: Final answer
    x = 2,738.80

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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.