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Finding the Fourth Proportional to 5,418.63, 8,114.95 and 2,947.32

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Solution

The fourth proportional to 5,418.63, 8,114.95 and 2,947.32 is: 4,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.63 : 8,114.95 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    5,418.63/8,114.95 = 2,947.32/x
  3. Step 3: Cross multiply
    5,418.63x = 8,114.95 × 2,947.32
  4. Step 4: Simplify right side
    5,418.63x = 23,917,354.43
  5. Step 5: Solve for x
    x = 23,917,354.43/5,418.63
  6. Step 6: Final answer
    x = 4,413.91

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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.