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Finding the Fourth Proportional to 9,715.76, 14,571.45 and 3,792.79

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Solution

The fourth proportional to 9,715.76, 14,571.45 and 3,792.79 is: 5,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.76 : 14,571.45 = 3,792.79 : x
  2. Step 2: Convert to fraction form
    9,715.76/14,571.45 = 3,792.79/x
  3. Step 3: Cross multiply
    9,715.76x = 14,571.45 × 3,792.79
  4. Step 4: Simplify right side
    9,715.76x = 55,266,449.85
  5. Step 5: Solve for x
    x = 55,266,449.85/9,715.76
  6. Step 6: Final answer
    x = 5,688.33

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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.