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Finding the Fourth Proportional to 1,763.90, 2,427.03 and 1,448

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Solution

The fourth proportional to 1,763.90, 2,427.03 and 1,448 is: 1,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.90 : 2,427.03 = 1,448 : x
  2. Step 2: Convert to fraction form
    1,763.90/2,427.03 = 1,448/x
  3. Step 3: Cross multiply
    1,763.90x = 2,427.03 × 1,448
  4. Step 4: Simplify right side
    1,763.90x = 3,514,339.44
  5. Step 5: Solve for x
    x = 3,514,339.44/1,763.90
  6. Step 6: Final answer
    x = 1,992.37

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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.