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Finding the Fourth Proportional to 1,999.55, 2,994.94 and 1,648.94

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Solution

The fourth proportional to 1,999.55, 2,994.94 and 1,648.94 is: 2,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.55 : 2,994.94 = 1,648.94 : x
  2. Step 2: Convert to fraction form
    1,999.55/2,994.94 = 1,648.94/x
  3. Step 3: Cross multiply
    1,999.55x = 2,994.94 × 1,648.94
  4. Step 4: Simplify right side
    1,999.55x = 4,938,463.45
  5. Step 5: Solve for x
    x = 4,938,463.45/1,999.55
  6. Step 6: Final answer
    x = 2,469.78

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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.