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Finding the Fourth Proportional to 12,137.72, 16,735.02 and 7,938.68

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Solution

The fourth proportional to 12,137.72, 16,735.02 and 7,938.68 is: 10,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.72 : 16,735.02 = 7,938.68 : x
  2. Step 2: Convert to fraction form
    12,137.72/16,735.02 = 7,938.68/x
  3. Step 3: Cross multiply
    12,137.72x = 16,735.02 × 7,938.68
  4. Step 4: Simplify right side
    12,137.72x = 132,853,968.57
  5. Step 5: Solve for x
    x = 132,853,968.57/12,137.72
  6. Step 6: Final answer
    x = 10,945.55

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1.5x scale

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.