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Finding the Fourth Proportional to 3,321.81, 4,982.95 and 856.64

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Solution

The fourth proportional to 3,321.81, 4,982.95 and 856.64 is: 1,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.81 : 4,982.95 = 856.64 : x
  2. Step 2: Convert to fraction form
    3,321.81/4,982.95 = 856.64/x
  3. Step 3: Cross multiply
    3,321.81x = 4,982.95 × 856.64
  4. Step 4: Simplify right side
    3,321.81x = 4,268,607.82
  5. Step 5: Solve for x
    x = 4,268,607.82/3,321.81
  6. Step 6: Final answer
    x = 1,285.02

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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.