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Finding the Fourth Proportional to 9,408.99, 12,984.45 and 5,217.24

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Solution

The fourth proportional to 9,408.99, 12,984.45 and 5,217.24 is: 7,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.99 : 12,984.45 = 5,217.24 : x
  2. Step 2: Convert to fraction form
    9,408.99/12,984.45 = 5,217.24/x
  3. Step 3: Cross multiply
    9,408.99x = 12,984.45 × 5,217.24
  4. Step 4: Simplify right side
    9,408.99x = 67,742,991.92
  5. Step 5: Solve for x
    x = 67,742,991.92/9,408.99
  6. Step 6: Final answer
    x = 7,199.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.