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Finding the Fourth Proportional to 2,858.25, 4,289.00 and 1,319.25

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Solution

The fourth proportional to 2,858.25, 4,289.00 and 1,319.25 is: 1,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.25 : 4,289.00 = 1,319.25 : x
  2. Step 2: Convert to fraction form
    2,858.25/4,289.00 = 1,319.25/x
  3. Step 3: Cross multiply
    2,858.25x = 4,289.00 × 1,319.25
  4. Step 4: Simplify right side
    2,858.25x = 5,658,256.65
  5. Step 5: Solve for x
    x = 5,658,256.65/2,858.25
  6. Step 6: Final answer
    x = 1,979.62

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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.