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Finding the Fourth Proportional to 1,805.97, 2,488.38 and 1,215.48

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Solution

The fourth proportional to 1,805.97, 2,488.38 and 1,215.48 is: 1,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.97 : 2,488.38 = 1,215.48 : x
  2. Step 2: Convert to fraction form
    1,805.97/2,488.38 = 1,215.48/x
  3. Step 3: Cross multiply
    1,805.97x = 2,488.38 × 1,215.48
  4. Step 4: Simplify right side
    1,805.97x = 3,024,580.90
  5. Step 5: Solve for x
    x = 3,024,580.90/1,805.97
  6. Step 6: Final answer
    x = 1,674.76

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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.