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Finding the Fourth Proportional to 2,858.94, 4,286.25 and 1,559.70

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Solution

The fourth proportional to 2,858.94, 4,286.25 and 1,559.70 is: 2,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.94 : 4,286.25 = 1,559.70 : x
  2. Step 2: Convert to fraction form
    2,858.94/4,286.25 = 1,559.70/x
  3. Step 3: Cross multiply
    2,858.94x = 4,286.25 × 1,559.70
  4. Step 4: Simplify right side
    2,858.94x = 6,685,264.13
  5. Step 5: Solve for x
    x = 6,685,264.13/2,858.94
  6. Step 6: Final answer
    x = 2,338.37

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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.