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Finding the Fourth Proportional to 5,886, 8,122.68 and 3,678

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Solution

The fourth proportional to 5,886, 8,122.68 and 3,678 is: 5,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886 : 8,122.68 = 3,678 : x
  2. Step 2: Convert to fraction form
    5,886/8,122.68 = 3,678/x
  3. Step 3: Cross multiply
    5,886x = 8,122.68 × 3,678
  4. Step 4: Simplify right side
    5,886x = 29,875,217.04
  5. Step 5: Solve for x
    x = 29,875,217.04/5,886
  6. Step 6: Final answer
    x = 5,075.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.