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Finding the Fourth Proportional to 3,554.74, 4,905.80 and 1,982.80

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Solution

The fourth proportional to 3,554.74, 4,905.80 and 1,982.80 is: 2,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.74 : 4,905.80 = 1,982.80 : x
  2. Step 2: Convert to fraction form
    3,554.74/4,905.80 = 1,982.80/x
  3. Step 3: Cross multiply
    3,554.74x = 4,905.80 × 1,982.80
  4. Step 4: Simplify right side
    3,554.74x = 9,727,220.24
  5. Step 5: Solve for x
    x = 9,727,220.24/3,554.74
  6. Step 6: Final answer
    x = 2,736.41

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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.