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Finding the Fourth Proportional to 2,857.89, 4,286.34 and 778.07

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Solution

The fourth proportional to 2,857.89, 4,286.34 and 778.07 is: 1,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.89 : 4,286.34 = 778.07 : x
  2. Step 2: Convert to fraction form
    2,857.89/4,286.34 = 778.07/x
  3. Step 3: Cross multiply
    2,857.89x = 4,286.34 × 778.07
  4. Step 4: Simplify right side
    2,857.89x = 3,335,051.13
  5. Step 5: Solve for x
    x = 3,335,051.13/2,857.89
  6. Step 6: Final answer
    x = 1,166.96

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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.