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Finding the Fourth Proportional to 2,608.81, 3,913.21 and 1,438.76

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Solution

The fourth proportional to 2,608.81, 3,913.21 and 1,438.76 is: 2,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.81 : 3,913.21 = 1,438.76 : x
  2. Step 2: Convert to fraction form
    2,608.81/3,913.21 = 1,438.76/x
  3. Step 3: Cross multiply
    2,608.81x = 3,913.21 × 1,438.76
  4. Step 4: Simplify right side
    2,608.81x = 5,630,170.02
  5. Step 5: Solve for x
    x = 5,630,170.02/2,608.81
  6. Step 6: Final answer
    x = 2,158.14

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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.