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Finding the Fourth Proportional to 12,274.24, 16,938.44 and 6,685.28

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Solution

The fourth proportional to 12,274.24, 16,938.44 and 6,685.28 is: 9,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.24 : 16,938.44 = 6,685.28 : x
  2. Step 2: Convert to fraction form
    12,274.24/16,938.44 = 6,685.28/x
  3. Step 3: Cross multiply
    12,274.24x = 16,938.44 × 6,685.28
  4. Step 4: Simplify right side
    12,274.24x = 113,238,214.16
  5. Step 5: Solve for x
    x = 113,238,214.16/12,274.24
  6. Step 6: Final answer
    x = 9,225.68

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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.