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Finding the Fourth Proportional to 3,077.90, 4,617.44 and 998.42

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Solution

The fourth proportional to 3,077.90, 4,617.44 and 998.42 is: 1,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.90 : 4,617.44 = 998.42 : x
  2. Step 2: Convert to fraction form
    3,077.90/4,617.44 = 998.42/x
  3. Step 3: Cross multiply
    3,077.90x = 4,617.44 × 998.42
  4. Step 4: Simplify right side
    3,077.90x = 4,610,116.37
  5. Step 5: Solve for x
    x = 4,610,116.37/3,077.90
  6. Step 6: Final answer
    x = 1,497.81

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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.