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Finding the Fourth Proportional to 7,863.98, 10,850.50 and 5,740.67

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Solution

The fourth proportional to 7,863.98, 10,850.50 and 5,740.67 is: 7,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.98 : 10,850.50 = 5,740.67 : x
  2. Step 2: Convert to fraction form
    7,863.98/10,850.50 = 5,740.67/x
  3. Step 3: Cross multiply
    7,863.98x = 10,850.50 × 5,740.67
  4. Step 4: Simplify right side
    7,863.98x = 62,289,139.84
  5. Step 5: Solve for x
    x = 62,289,139.84/7,863.98
  6. Step 6: Final answer
    x = 7,920.82

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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.