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Finding the Fourth Proportional to 2,894.02, 3,995.80 and 1,775.31

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Solution

The fourth proportional to 2,894.02, 3,995.80 and 1,775.31 is: 2,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.02 : 3,995.80 = 1,775.31 : x
  2. Step 2: Convert to fraction form
    2,894.02/3,995.80 = 1,775.31/x
  3. Step 3: Cross multiply
    2,894.02x = 3,995.80 × 1,775.31
  4. Step 4: Simplify right side
    2,894.02x = 7,093,805.95
  5. Step 5: Solve for x
    x = 7,093,805.95/2,894.02
  6. Step 6: Final answer
    x = 2,451.20

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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.