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Finding the Fourth Proportional to 5,166.71, 7,751.46 and 3,687.79

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Solution

The fourth proportional to 5,166.71, 7,751.46 and 3,687.79 is: 5,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.71 : 7,751.46 = 3,687.79 : x
  2. Step 2: Convert to fraction form
    5,166.71/7,751.46 = 3,687.79/x
  3. Step 3: Cross multiply
    5,166.71x = 7,751.46 × 3,687.79
  4. Step 4: Simplify right side
    5,166.71x = 28,585,756.67
  5. Step 5: Solve for x
    x = 28,585,756.67/5,166.71
  6. Step 6: Final answer
    x = 5,532.68

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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.