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Finding the Fourth Proportional to 3,317.25, 4,974.15 and 976.95

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Solution

The fourth proportional to 3,317.25, 4,974.15 and 976.95 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.25 : 4,974.15 = 976.95 : x
  2. Step 2: Convert to fraction form
    3,317.25/4,974.15 = 976.95/x
  3. Step 3: Cross multiply
    3,317.25x = 4,974.15 × 976.95
  4. Step 4: Simplify right side
    3,317.25x = 4,859,470.97
  5. Step 5: Solve for x
    x = 4,859,470.97/3,317.25
  6. Step 6: Final answer
    x = 1,464.91

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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.