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Finding the Fourth Proportional to 9,309.99, 12,849.65 and 5,532.42

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Solution

The fourth proportional to 9,309.99, 12,849.65 and 5,532.42 is: 7,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.99 : 12,849.65 = 5,532.42 : x
  2. Step 2: Convert to fraction form
    9,309.99/12,849.65 = 5,532.42/x
  3. Step 3: Cross multiply
    9,309.99x = 12,849.65 × 5,532.42
  4. Step 4: Simplify right side
    9,309.99x = 71,089,666.41
  5. Step 5: Solve for x
    x = 71,089,666.41/9,309.99
  6. Step 6: Final answer
    x = 7,635.85

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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.