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Finding the Fourth Proportional to 12,483.53, 18,668.43 and 9,323.19

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Solution

The fourth proportional to 12,483.53, 18,668.43 and 9,323.19 is: 13,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.53 : 18,668.43 = 9,323.19 : x
  2. Step 2: Convert to fraction form
    12,483.53/18,668.43 = 9,323.19/x
  3. Step 3: Cross multiply
    12,483.53x = 18,668.43 × 9,323.19
  4. Step 4: Simplify right side
    12,483.53x = 174,049,319.89
  5. Step 5: Solve for x
    x = 174,049,319.89/12,483.53
  6. Step 6: Final answer
    x = 13,942.32

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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.