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Finding the Fourth Proportional to 3,277.94, 4,917.87 and 969.62

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Solution

The fourth proportional to 3,277.94, 4,917.87 and 969.62 is: 1,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.94 : 4,917.87 = 969.62 : x
  2. Step 2: Convert to fraction form
    3,277.94/4,917.87 = 969.62/x
  3. Step 3: Cross multiply
    3,277.94x = 4,917.87 × 969.62
  4. Step 4: Simplify right side
    3,277.94x = 4,768,465.11
  5. Step 5: Solve for x
    x = 4,768,465.11/3,277.94
  6. Step 6: Final answer
    x = 1,454.71

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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.