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Finding the Fourth Proportional to 5,122.43, 7,680 and 3,037.49

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Solution

The fourth proportional to 5,122.43, 7,680 and 3,037.49 is: 4,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.43 : 7,680 = 3,037.49 : x
  2. Step 2: Convert to fraction form
    5,122.43/7,680 = 3,037.49/x
  3. Step 3: Cross multiply
    5,122.43x = 7,680 × 3,037.49
  4. Step 4: Simplify right side
    5,122.43x = 23,327,923.20
  5. Step 5: Solve for x
    x = 23,327,923.20/5,122.43
  6. Step 6: Final answer
    x = 4,554.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.