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Finding the Fourth Proportional to 4,259.88, 6,390 and 1,338.12

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Solution

The fourth proportional to 4,259.88, 6,390 and 1,338.12 is: 2,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.88 : 6,390 = 1,338.12 : x
  2. Step 2: Convert to fraction form
    4,259.88/6,390 = 1,338.12/x
  3. Step 3: Cross multiply
    4,259.88x = 6,390 × 1,338.12
  4. Step 4: Simplify right side
    4,259.88x = 8,550,586.80
  5. Step 5: Solve for x
    x = 8,550,586.80/4,259.88
  6. Step 6: Final answer
    x = 2,007.24

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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.