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Finding the Fourth Proportional to 2,271.40, 3,408.41 and 955.05

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Solution

The fourth proportional to 2,271.40, 3,408.41 and 955.05 is: 1,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.40 : 3,408.41 = 955.05 : x
  2. Step 2: Convert to fraction form
    2,271.40/3,408.41 = 955.05/x
  3. Step 3: Cross multiply
    2,271.40x = 3,408.41 × 955.05
  4. Step 4: Simplify right side
    2,271.40x = 3,255,201.97
  5. Step 5: Solve for x
    x = 3,255,201.97/2,271.40
  6. Step 6: Final answer
    x = 1,433.13

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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.