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Finding the Fourth Proportional to 2,558.96, 3,838.26 and 998.67

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Solution

The fourth proportional to 2,558.96, 3,838.26 and 998.67 is: 1,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.96 : 3,838.26 = 998.67 : x
  2. Step 2: Convert to fraction form
    2,558.96/3,838.26 = 998.67/x
  3. Step 3: Cross multiply
    2,558.96x = 3,838.26 × 998.67
  4. Step 4: Simplify right side
    2,558.96x = 3,833,155.11
  5. Step 5: Solve for x
    x = 3,833,155.11/2,558.96
  6. Step 6: Final answer
    x = 1,497.93

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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.