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Finding the Fourth Proportional to 3,280.64, 4,919.81 and 1,431.34

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Solution

The fourth proportional to 3,280.64, 4,919.81 and 1,431.34 is: 2,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.64 : 4,919.81 = 1,431.34 : x
  2. Step 2: Convert to fraction form
    3,280.64/4,919.81 = 1,431.34/x
  3. Step 3: Cross multiply
    3,280.64x = 4,919.81 × 1,431.34
  4. Step 4: Simplify right side
    3,280.64x = 7,041,901.39
  5. Step 5: Solve for x
    x = 7,041,901.39/3,280.64
  6. Step 6: Final answer
    x = 2,146.51

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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.