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Finding the Fourth Proportional to 2,880.46, 4,321.11 and 1,419.70

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Solution

The fourth proportional to 2,880.46, 4,321.11 and 1,419.70 is: 2,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.46 : 4,321.11 = 1,419.70 : x
  2. Step 2: Convert to fraction form
    2,880.46/4,321.11 = 1,419.70/x
  3. Step 3: Cross multiply
    2,880.46x = 4,321.11 × 1,419.70
  4. Step 4: Simplify right side
    2,880.46x = 6,134,679.87
  5. Step 5: Solve for x
    x = 6,134,679.87/2,880.46
  6. Step 6: Final answer
    x = 2,129.76

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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.