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Finding the Fourth Proportional to 1,880.97, 2,807.99 and 1,635

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Solution

The fourth proportional to 1,880.97, 2,807.99 and 1,635 is: 2,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.97 : 2,807.99 = 1,635 : x
  2. Step 2: Convert to fraction form
    1,880.97/2,807.99 = 1,635/x
  3. Step 3: Cross multiply
    1,880.97x = 2,807.99 × 1,635
  4. Step 4: Simplify right side
    1,880.97x = 4,591,063.65
  5. Step 5: Solve for x
    x = 4,591,063.65/1,880.97
  6. Step 6: Final answer
    x = 2,440.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.