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Finding the Fourth Proportional to 20,505.67, 30,758.50 and 11,734.38

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Solution

The fourth proportional to 20,505.67, 30,758.50 and 11,734.38 is: 17,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.67 : 30,758.50 = 11,734.38 : x
  2. Step 2: Convert to fraction form
    20,505.67/30,758.50 = 11,734.38/x
  3. Step 3: Cross multiply
    20,505.67x = 30,758.50 × 11,734.38
  4. Step 4: Simplify right side
    20,505.67x = 360,931,897.89
  5. Step 5: Solve for x
    x = 360,931,897.89/20,505.67
  6. Step 6: Final answer
    x = 17,601.57

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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.