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Finding the Fourth Proportional to 5,393.50, 8,091.05 and 2,762.50

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Solution

The fourth proportional to 5,393.50, 8,091.05 and 2,762.50 is: 4,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.50 : 8,091.05 = 2,762.50 : x
  2. Step 2: Convert to fraction form
    5,393.50/8,091.05 = 2,762.50/x
  3. Step 3: Cross multiply
    5,393.50x = 8,091.05 × 2,762.50
  4. Step 4: Simplify right side
    5,393.50x = 22,351,503.42
  5. Step 5: Solve for x
    x = 22,351,503.42/5,393.50
  6. Step 6: Final answer
    x = 4,144.15

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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.