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Finding the Fourth Proportional to 3,323.16, 4,984.74 and 857.79

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Solution

The fourth proportional to 3,323.16, 4,984.74 and 857.79 is: 1,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.16 : 4,984.74 = 857.79 : x
  2. Step 2: Convert to fraction form
    3,323.16/4,984.74 = 857.79/x
  3. Step 3: Cross multiply
    3,323.16x = 4,984.74 × 857.79
  4. Step 4: Simplify right side
    3,323.16x = 4,275,860.12
  5. Step 5: Solve for x
    x = 4,275,860.12/3,323.16
  6. Step 6: Final answer
    x = 1,286.69

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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.