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Finding the Fourth Proportional to 3,166.12, 4,748.82 and 857.44

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Solution

The fourth proportional to 3,166.12, 4,748.82 and 857.44 is: 1,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.12 : 4,748.82 = 857.44 : x
  2. Step 2: Convert to fraction form
    3,166.12/4,748.82 = 857.44/x
  3. Step 3: Cross multiply
    3,166.12x = 4,748.82 × 857.44
  4. Step 4: Simplify right side
    3,166.12x = 4,071,813.13
  5. Step 5: Solve for x
    x = 4,071,813.13/3,166.12
  6. Step 6: Final answer
    x = 1,286.06

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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.