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Finding the Fourth Proportional to 2,894.45, 3,990.63 and 1,898

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Solution

The fourth proportional to 2,894.45, 3,990.63 and 1,898 is: 2,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.45 : 3,990.63 = 1,898 : x
  2. Step 2: Convert to fraction form
    2,894.45/3,990.63 = 1,898/x
  3. Step 3: Cross multiply
    2,894.45x = 3,990.63 × 1,898
  4. Step 4: Simplify right side
    2,894.45x = 7,574,215.74
  5. Step 5: Solve for x
    x = 7,574,215.74/2,894.45
  6. Step 6: Final answer
    x = 2,616.81

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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.