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Finding the Fourth Proportional to 3,285.14, 4,927.74 and 976.64

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Solution

The fourth proportional to 3,285.14, 4,927.74 and 976.64 is: 1,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.14 : 4,927.74 = 976.64 : x
  2. Step 2: Convert to fraction form
    3,285.14/4,927.74 = 976.64/x
  3. Step 3: Cross multiply
    3,285.14x = 4,927.74 × 976.64
  4. Step 4: Simplify right side
    3,285.14x = 4,812,627.99
  5. Step 5: Solve for x
    x = 4,812,627.99/3,285.14
  6. Step 6: Final answer
    x = 1,464.97

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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.