Home / 2,774.78-3,830.05-1,596.63

Finding the Fourth Proportional to 2,774.78, 3,830.05 and 1,596.63

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Solution

The fourth proportional to 2,774.78, 3,830.05 and 1,596.63 is: 2,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.78 : 3,830.05 = 1,596.63 : x
  2. Step 2: Convert to fraction form
    2,774.78/3,830.05 = 1,596.63/x
  3. Step 3: Cross multiply
    2,774.78x = 3,830.05 × 1,596.63
  4. Step 4: Simplify right side
    2,774.78x = 6,115,172.73
  5. Step 5: Solve for x
    x = 6,115,172.73/2,774.78
  6. Step 6: Final answer
    x = 2,203.84

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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.