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Finding the Fourth Proportional to 1,798.49, 2,467.01 and 1,782.90

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Solution

The fourth proportional to 1,798.49, 2,467.01 and 1,782.90 is: 2,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.49 : 2,467.01 = 1,782.90 : x
  2. Step 2: Convert to fraction form
    1,798.49/2,467.01 = 1,782.90/x
  3. Step 3: Cross multiply
    1,798.49x = 2,467.01 × 1,782.90
  4. Step 4: Simplify right side
    1,798.49x = 4,398,436.59
  5. Step 5: Solve for x
    x = 4,398,436.59/1,798.49
  6. Step 6: Final answer
    x = 2,445.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.