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Finding the Fourth Proportional to 4,200, 6,299.76 and 1,278.24

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Solution

The fourth proportional to 4,200, 6,299.76 and 1,278.24 is: 1,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 6,299.76 = 1,278.24 : x
  2. Step 2: Convert to fraction form
    4,200/6,299.76 = 1,278.24/x
  3. Step 3: Cross multiply
    4,200x = 6,299.76 × 1,278.24
  4. Step 4: Simplify right side
    4,200x = 8,052,605.22
  5. Step 5: Solve for x
    x = 8,052,605.22/4,200
  6. Step 6: Final answer
    x = 1,917.29

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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.