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Finding the Fourth Proportional to 20,198.77, 30,312 and 7,051.14

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Solution

The fourth proportional to 20,198.77, 30,312 and 7,051.14 is: 10,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.77 : 30,312 = 7,051.14 : x
  2. Step 2: Convert to fraction form
    20,198.77/30,312 = 7,051.14/x
  3. Step 3: Cross multiply
    20,198.77x = 30,312 × 7,051.14
  4. Step 4: Simplify right side
    20,198.77x = 213,734,155.68
  5. Step 5: Solve for x
    x = 213,734,155.68/20,198.77
  6. Step 6: Final answer
    x = 10,581.54

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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.