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Finding the Fourth Proportional to 1,645.69, 2,464.88 and 1,517.65

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Solution

The fourth proportional to 1,645.69, 2,464.88 and 1,517.65 is: 2,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.69 : 2,464.88 = 1,517.65 : x
  2. Step 2: Convert to fraction form
    1,645.69/2,464.88 = 1,517.65/x
  3. Step 3: Cross multiply
    1,645.69x = 2,464.88 × 1,517.65
  4. Step 4: Simplify right side
    1,645.69x = 3,740,825.13
  5. Step 5: Solve for x
    x = 3,740,825.13/1,645.69
  6. Step 6: Final answer
    x = 2,273.10

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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.