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Finding the Fourth Proportional to 5,356.80, 8,064 and 4,872.96

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Solution

The fourth proportional to 5,356.80, 8,064 and 4,872.96 is: 7,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.80 : 8,064 = 4,872.96 : x
  2. Step 2: Convert to fraction form
    5,356.80/8,064 = 4,872.96/x
  3. Step 3: Cross multiply
    5,356.80x = 8,064 × 4,872.96
  4. Step 4: Simplify right side
    5,356.80x = 39,295,549.44
  5. Step 5: Solve for x
    x = 39,295,549.44/5,356.80
  6. Step 6: Final answer
    x = 7,335.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.