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Finding the Fourth Proportional to 3,185.33, 4,777.65 and 994.07

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Solution

The fourth proportional to 3,185.33, 4,777.65 and 994.07 is: 1,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.33 : 4,777.65 = 994.07 : x
  2. Step 2: Convert to fraction form
    3,185.33/4,777.65 = 994.07/x
  3. Step 3: Cross multiply
    3,185.33x = 4,777.65 × 994.07
  4. Step 4: Simplify right side
    3,185.33x = 4,749,330.48
  5. Step 5: Solve for x
    x = 4,749,330.48/3,185.33
  6. Step 6: Final answer
    x = 1,491.00

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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.