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Finding the Fourth Proportional to 4,275, 6,415.38 and 1,539

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Solution

The fourth proportional to 4,275, 6,415.38 and 1,539 is: 2,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275 : 6,415.38 = 1,539 : x
  2. Step 2: Convert to fraction form
    4,275/6,415.38 = 1,539/x
  3. Step 3: Cross multiply
    4,275x = 6,415.38 × 1,539
  4. Step 4: Simplify right side
    4,275x = 9,873,269.82
  5. Step 5: Solve for x
    x = 9,873,269.82/4,275
  6. Step 6: Final answer
    x = 2,309.54

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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.