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Finding the Fourth Proportional to 4,273, 6,405.90 and 1,677.80

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Solution

The fourth proportional to 4,273, 6,405.90 and 1,677.80 is: 2,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273 : 6,405.90 = 1,677.80 : x
  2. Step 2: Convert to fraction form
    4,273/6,405.90 = 1,677.80/x
  3. Step 3: Cross multiply
    4,273x = 6,405.90 × 1,677.80
  4. Step 4: Simplify right side
    4,273x = 10,747,819.02
  5. Step 5: Solve for x
    x = 10,747,819.02/4,273
  6. Step 6: Final answer
    x = 2,515.29

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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.