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Finding the Fourth Proportional to 3,906.55, 5,856.05 and 1,440.02

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Solution

The fourth proportional to 3,906.55, 5,856.05 and 1,440.02 is: 2,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.55 : 5,856.05 = 1,440.02 : x
  2. Step 2: Convert to fraction form
    3,906.55/5,856.05 = 1,440.02/x
  3. Step 3: Cross multiply
    3,906.55x = 5,856.05 × 1,440.02
  4. Step 4: Simplify right side
    3,906.55x = 8,432,829.12
  5. Step 5: Solve for x
    x = 8,432,829.12/3,906.55
  6. Step 6: Final answer
    x = 2,158.64

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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.