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Finding the Fourth Proportional to 12,274.50, 16,938.81 and 6,685.50

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Solution

The fourth proportional to 12,274.50, 16,938.81 and 6,685.50 is: 9,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.50 : 16,938.81 = 6,685.50 : x
  2. Step 2: Convert to fraction form
    12,274.50/16,938.81 = 6,685.50/x
  3. Step 3: Cross multiply
    12,274.50x = 16,938.81 × 6,685.50
  4. Step 4: Simplify right side
    12,274.50x = 113,244,414.26
  5. Step 5: Solve for x
    x = 113,244,414.26/12,274.50
  6. Step 6: Final answer
    x = 9,225.99

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Why These Related Problems?

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