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Finding the Fourth Proportional to 2,892.90, 3,994.20 and 2,219.54

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Solution

The fourth proportional to 2,892.90, 3,994.20 and 2,219.54 is: 3,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.90 : 3,994.20 = 2,219.54 : x
  2. Step 2: Convert to fraction form
    2,892.90/3,994.20 = 2,219.54/x
  3. Step 3: Cross multiply
    2,892.90x = 3,994.20 × 2,219.54
  4. Step 4: Simplify right side
    2,892.90x = 8,865,286.67
  5. Step 5: Solve for x
    x = 8,865,286.67/2,892.90
  6. Step 6: Final answer
    x = 3,064.50

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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.