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Finding the Fourth Proportional to 13,938.17, 20,910.48 and 7,696.71

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Solution

The fourth proportional to 13,938.17, 20,910.48 and 7,696.71 is: 11,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.17 : 20,910.48 = 7,696.71 : x
  2. Step 2: Convert to fraction form
    13,938.17/20,910.48 = 7,696.71/x
  3. Step 3: Cross multiply
    13,938.17x = 20,910.48 × 7,696.71
  4. Step 4: Simplify right side
    13,938.17x = 160,941,900.52
  5. Step 5: Solve for x
    x = 160,941,900.52/13,938.17
  6. Step 6: Final answer
    x = 11,546.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.