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Finding the Fourth Proportional to 5,199.84, 7,173.50 and 3,102.75

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Solution

The fourth proportional to 5,199.84, 7,173.50 and 3,102.75 is: 4,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.84 : 7,173.50 = 3,102.75 : x
  2. Step 2: Convert to fraction form
    5,199.84/7,173.50 = 3,102.75/x
  3. Step 3: Cross multiply
    5,199.84x = 7,173.50 × 3,102.75
  4. Step 4: Simplify right side
    5,199.84x = 22,257,561.61
  5. Step 5: Solve for x
    x = 22,257,561.61/5,199.84
  6. Step 6: Final answer
    x = 4,280.43

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