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Finding the Fourth Proportional to 2,627.99, 3,942.67 and 984.56

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Solution

The fourth proportional to 2,627.99, 3,942.67 and 984.56 is: 1,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.99 : 3,942.67 = 984.56 : x
  2. Step 2: Convert to fraction form
    2,627.99/3,942.67 = 984.56/x
  3. Step 3: Cross multiply
    2,627.99x = 3,942.67 × 984.56
  4. Step 4: Simplify right side
    2,627.99x = 3,881,795.18
  5. Step 5: Solve for x
    x = 3,881,795.18/2,627.99
  6. Step 6: Final answer
    x = 1,477.10

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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.