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Finding the Fourth Proportional to 7,181.76, 10,777.90 and 4,715.71

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Solution

The fourth proportional to 7,181.76, 10,777.90 and 4,715.71 is: 7,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.76 : 10,777.90 = 4,715.71 : x
  2. Step 2: Convert to fraction form
    7,181.76/10,777.90 = 4,715.71/x
  3. Step 3: Cross multiply
    7,181.76x = 10,777.90 × 4,715.71
  4. Step 4: Simplify right side
    7,181.76x = 50,825,450.81
  5. Step 5: Solve for x
    x = 50,825,450.81/7,181.76
  6. Step 6: Final answer
    x = 7,077.02

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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.