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Finding the Fourth Proportional to 12,283.52, 18,428.92 and 5,713.60

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Solution

The fourth proportional to 12,283.52, 18,428.92 and 5,713.60 is: 8,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.52 : 18,428.92 = 5,713.60 : x
  2. Step 2: Convert to fraction form
    12,283.52/18,428.92 = 5,713.60/x
  3. Step 3: Cross multiply
    12,283.52x = 18,428.92 × 5,713.60
  4. Step 4: Simplify right side
    12,283.52x = 105,295,477.31
  5. Step 5: Solve for x
    x = 105,295,477.31/12,283.52
  6. Step 6: Final answer
    x = 8,572.09

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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.