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Finding the Fourth Proportional to 13,940.12, 20,890.72 and 7,703.12

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Solution

The fourth proportional to 13,940.12, 20,890.72 and 7,703.12 is: 11,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.12 : 20,890.72 = 7,703.12 : x
  2. Step 2: Convert to fraction form
    13,940.12/20,890.72 = 7,703.12/x
  3. Step 3: Cross multiply
    13,940.12x = 20,890.72 × 7,703.12
  4. Step 4: Simplify right side
    13,940.12x = 160,923,723.05
  5. Step 5: Solve for x
    x = 160,923,723.05/13,940.12
  6. Step 6: Final answer
    x = 11,543.93

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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.