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Finding the Fourth Proportional to 20,390.77, 30,575.77 and 7,914.37

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Solution

The fourth proportional to 20,390.77, 30,575.77 and 7,914.37 is: 11,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.77 : 30,575.77 = 7,914.37 : x
  2. Step 2: Convert to fraction form
    20,390.77/30,575.77 = 7,914.37/x
  3. Step 3: Cross multiply
    20,390.77x = 30,575.77 × 7,914.37
  4. Step 4: Simplify right side
    20,390.77x = 241,987,956.81
  5. Step 5: Solve for x
    x = 241,987,956.81/20,390.77
  6. Step 6: Final answer
    x = 11,867.52

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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.