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Finding the Fourth Proportional to 10,408.14, 15,617.07 and 6,510.42

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Solution

The fourth proportional to 10,408.14, 15,617.07 and 6,510.42 is: 9,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.14 : 15,617.07 = 6,510.42 : x
  2. Step 2: Convert to fraction form
    10,408.14/15,617.07 = 6,510.42/x
  3. Step 3: Cross multiply
    10,408.14x = 15,617.07 × 6,510.42
  4. Step 4: Simplify right side
    10,408.14x = 101,673,684.87
  5. Step 5: Solve for x
    x = 101,673,684.87/10,408.14
  6. Step 6: Final answer
    x = 9,768.67

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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.