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Finding the Fourth Proportional to 3,903.96, 5,857.64 and 1,438.20

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Solution

The fourth proportional to 3,903.96, 5,857.64 and 1,438.20 is: 2,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.96 : 5,857.64 = 1,438.20 : x
  2. Step 2: Convert to fraction form
    3,903.96/5,857.64 = 1,438.20/x
  3. Step 3: Cross multiply
    3,903.96x = 5,857.64 × 1,438.20
  4. Step 4: Simplify right side
    3,903.96x = 8,424,457.85
  5. Step 5: Solve for x
    x = 8,424,457.85/3,903.96
  6. Step 6: Final answer
    x = 2,157.93

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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.