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Finding the Fourth Proportional to 2,615.12, 3,922.64 and 884.96

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Solution

The fourth proportional to 2,615.12, 3,922.64 and 884.96 is: 1,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.12 : 3,922.64 = 884.96 : x
  2. Step 2: Convert to fraction form
    2,615.12/3,922.64 = 884.96/x
  3. Step 3: Cross multiply
    2,615.12x = 3,922.64 × 884.96
  4. Step 4: Simplify right side
    2,615.12x = 3,471,379.49
  5. Step 5: Solve for x
    x = 3,471,379.49/2,615.12
  6. Step 6: Final answer
    x = 1,327.43

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1.5x scale

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.