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Finding the Fourth Proportional to 2,826, 4,237.63 and 976.47

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Solution

The fourth proportional to 2,826, 4,237.63 and 976.47 is: 1,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826 : 4,237.63 = 976.47 : x
  2. Step 2: Convert to fraction form
    2,826/4,237.63 = 976.47/x
  3. Step 3: Cross multiply
    2,826x = 4,237.63 × 976.47
  4. Step 4: Simplify right side
    2,826x = 4,137,918.57
  5. Step 5: Solve for x
    x = 4,137,918.57/2,826
  6. Step 6: Final answer
    x = 1,464.23

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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.