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Finding the Fourth Proportional to 11,696.34, 16,145.35 and 7,938.95

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Solution

The fourth proportional to 11,696.34, 16,145.35 and 7,938.95 is: 10,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.34 : 16,145.35 = 7,938.95 : x
  2. Step 2: Convert to fraction form
    11,696.34/16,145.35 = 7,938.95/x
  3. Step 3: Cross multiply
    11,696.34x = 16,145.35 × 7,938.95
  4. Step 4: Simplify right side
    11,696.34x = 128,177,146.90
  5. Step 5: Solve for x
    x = 128,177,146.90/11,696.34
  6. Step 6: Final answer
    x = 10,958.74

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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.