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Finding the Fourth Proportional to 5,854, 8,078 and 3,201.28

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Solution

The fourth proportional to 5,854, 8,078 and 3,201.28 is: 4,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854 : 8,078 = 3,201.28 : x
  2. Step 2: Convert to fraction form
    5,854/8,078 = 3,201.28/x
  3. Step 3: Cross multiply
    5,854x = 8,078 × 3,201.28
  4. Step 4: Simplify right side
    5,854x = 25,859,939.84
  5. Step 5: Solve for x
    x = 25,859,939.84/5,854
  6. Step 6: Final answer
    x = 4,417.48

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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.