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Finding the Fourth Proportional to 2,894.42, 3,994.31 and 1,568.13

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Solution

The fourth proportional to 2,894.42, 3,994.31 and 1,568.13 is: 2,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.42 : 3,994.31 = 1,568.13 : x
  2. Step 2: Convert to fraction form
    2,894.42/3,994.31 = 1,568.13/x
  3. Step 3: Cross multiply
    2,894.42x = 3,994.31 × 1,568.13
  4. Step 4: Simplify right side
    2,894.42x = 6,263,569.53
  5. Step 5: Solve for x
    x = 6,263,569.53/2,894.42
  6. Step 6: Final answer
    x = 2,164.02

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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.