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Finding the Fourth Proportional to 2,271.78, 3,406.08 and 883.95

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Solution

The fourth proportional to 2,271.78, 3,406.08 and 883.95 is: 1,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.78 : 3,406.08 = 883.95 : x
  2. Step 2: Convert to fraction form
    2,271.78/3,406.08 = 883.95/x
  3. Step 3: Cross multiply
    2,271.78x = 3,406.08 × 883.95
  4. Step 4: Simplify right side
    2,271.78x = 3,010,796.37
  5. Step 5: Solve for x
    x = 3,010,796.37/2,271.78
  6. Step 6: Final answer
    x = 1,325.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.