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Finding the Fourth Proportional to 10,679.53, 16,022.21 and 5,137.51

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Solution

The fourth proportional to 10,679.53, 16,022.21 and 5,137.51 is: 7,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.53 : 16,022.21 = 5,137.51 : x
  2. Step 2: Convert to fraction form
    10,679.53/16,022.21 = 5,137.51/x
  3. Step 3: Cross multiply
    10,679.53x = 16,022.21 × 5,137.51
  4. Step 4: Simplify right side
    10,679.53x = 82,314,264.10
  5. Step 5: Solve for x
    x = 82,314,264.10/10,679.53
  6. Step 6: Final answer
    x = 7,707.67

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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.