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Finding the Fourth Proportional to 4,219, 6,330.20 and 2,137.88

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Solution

The fourth proportional to 4,219, 6,330.20 and 2,137.88 is: 3,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219 : 6,330.20 = 2,137.88 : x
  2. Step 2: Convert to fraction form
    4,219/6,330.20 = 2,137.88/x
  3. Step 3: Cross multiply
    4,219x = 6,330.20 × 2,137.88
  4. Step 4: Simplify right side
    4,219x = 13,533,207.98
  5. Step 5: Solve for x
    x = 13,533,207.98/4,219
  6. Step 6: Final answer
    x = 3,207.68

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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.