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Finding the Fourth Proportional to 3,898.75, 5,380.37 and 2,407.69

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Solution

The fourth proportional to 3,898.75, 5,380.37 and 2,407.69 is: 3,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.75 : 5,380.37 = 2,407.69 : x
  2. Step 2: Convert to fraction form
    3,898.75/5,380.37 = 2,407.69/x
  3. Step 3: Cross multiply
    3,898.75x = 5,380.37 × 2,407.69
  4. Step 4: Simplify right side
    3,898.75x = 12,954,251.01
  5. Step 5: Solve for x
    x = 12,954,251.01/3,898.75
  6. Step 6: Final answer
    x = 3,322.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.