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Finding the Fourth Proportional to 3,454.84, 5,182.26 and 857.78

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Solution

The fourth proportional to 3,454.84, 5,182.26 and 857.78 is: 1,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.84 : 5,182.26 = 857.78 : x
  2. Step 2: Convert to fraction form
    3,454.84/5,182.26 = 857.78/x
  3. Step 3: Cross multiply
    3,454.84x = 5,182.26 × 857.78
  4. Step 4: Simplify right side
    3,454.84x = 4,445,238.98
  5. Step 5: Solve for x
    x = 4,445,238.98/3,454.84
  6. Step 6: Final answer
    x = 1,286.67

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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.