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Finding the Fourth Proportional to 2,602.94, 3,898.46 and 1,626.62

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Solution

The fourth proportional to 2,602.94, 3,898.46 and 1,626.62 is: 2,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.94 : 3,898.46 = 1,626.62 : x
  2. Step 2: Convert to fraction form
    2,602.94/3,898.46 = 1,626.62/x
  3. Step 3: Cross multiply
    2,602.94x = 3,898.46 × 1,626.62
  4. Step 4: Simplify right side
    2,602.94x = 6,341,297.58
  5. Step 5: Solve for x
    x = 6,341,297.58/2,602.94
  6. Step 6: Final answer
    x = 2,436.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.