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Finding the Fourth Proportional to 20,642.50, 30,945.18 and 7,485.64

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Solution

The fourth proportional to 20,642.50, 30,945.18 and 7,485.64 is: 11,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.50 : 30,945.18 = 7,485.64 : x
  2. Step 2: Convert to fraction form
    20,642.50/30,945.18 = 7,485.64/x
  3. Step 3: Cross multiply
    20,642.50x = 30,945.18 × 7,485.64
  4. Step 4: Simplify right side
    20,642.50x = 231,644,477.22
  5. Step 5: Solve for x
    x = 231,644,477.22/20,642.50
  6. Step 6: Final answer
    x = 11,221.73

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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.