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Finding the Fourth Proportional to 20,296.56, 30,430.53 and 7,806.09

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Solution

The fourth proportional to 20,296.56, 30,430.53 and 7,806.09 is: 11,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.56 : 30,430.53 = 7,806.09 : x
  2. Step 2: Convert to fraction form
    20,296.56/30,430.53 = 7,806.09/x
  3. Step 3: Cross multiply
    20,296.56x = 30,430.53 × 7,806.09
  4. Step 4: Simplify right side
    20,296.56x = 237,543,455.93
  5. Step 5: Solve for x
    x = 237,543,455.93/20,296.56
  6. Step 6: Final answer
    x = 11,703.63

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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.