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Finding the Fourth Proportional to 4,273, 6,406.38 and 2,882.88

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Solution

The fourth proportional to 4,273, 6,406.38 and 2,882.88 is: 4,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273 : 6,406.38 = 2,882.88 : x
  2. Step 2: Convert to fraction form
    4,273/6,406.38 = 2,882.88/x
  3. Step 3: Cross multiply
    4,273x = 6,406.38 × 2,882.88
  4. Step 4: Simplify right side
    4,273x = 18,468,824.77
  5. Step 5: Solve for x
    x = 18,468,824.77/4,273
  6. Step 6: Final answer
    x = 4,322.22

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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.