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Finding the Fourth Proportional to 2,894.64, 3,990.41 and 1,898.19

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Solution

The fourth proportional to 2,894.64, 3,990.41 and 1,898.19 is: 2,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.64 : 3,990.41 = 1,898.19 : x
  2. Step 2: Convert to fraction form
    2,894.64/3,990.41 = 1,898.19/x
  3. Step 3: Cross multiply
    2,894.64x = 3,990.41 × 1,898.19
  4. Step 4: Simplify right side
    2,894.64x = 7,574,546.87
  5. Step 5: Solve for x
    x = 7,574,546.87/2,894.64
  6. Step 6: Final answer
    x = 2,616.75

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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.