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Finding the Fourth Proportional to 20,805.93, 31,213.08 and 7,658.01

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Solution

The fourth proportional to 20,805.93, 31,213.08 and 7,658.01 is: 11,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.93 : 31,213.08 = 7,658.01 : x
  2. Step 2: Convert to fraction form
    20,805.93/31,213.08 = 7,658.01/x
  3. Step 3: Cross multiply
    20,805.93x = 31,213.08 × 7,658.01
  4. Step 4: Simplify right side
    20,805.93x = 239,030,078.77
  5. Step 5: Solve for x
    x = 239,030,078.77/20,805.93
  6. Step 6: Final answer
    x = 11,488.56

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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.