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Finding the Fourth Proportional to 3,284.75, 4,927.13 and 976.25

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Solution

The fourth proportional to 3,284.75, 4,927.13 and 976.25 is: 1,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.75 : 4,927.13 = 976.25 : x
  2. Step 2: Convert to fraction form
    3,284.75/4,927.13 = 976.25/x
  3. Step 3: Cross multiply
    3,284.75x = 4,927.13 × 976.25
  4. Step 4: Simplify right side
    3,284.75x = 4,810,110.66
  5. Step 5: Solve for x
    x = 4,810,110.66/3,284.75
  6. Step 6: Final answer
    x = 1,464.38

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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.