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Finding the Fourth Proportional to 2,818.84, 3,889.62 and 1,639

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Solution

The fourth proportional to 2,818.84, 3,889.62 and 1,639 is: 2,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.84 : 3,889.62 = 1,639 : x
  2. Step 2: Convert to fraction form
    2,818.84/3,889.62 = 1,639/x
  3. Step 3: Cross multiply
    2,818.84x = 3,889.62 × 1,639
  4. Step 4: Simplify right side
    2,818.84x = 6,375,087.18
  5. Step 5: Solve for x
    x = 6,375,087.18/2,818.84
  6. Step 6: Final answer
    x = 2,261.60

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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.