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Finding the Fourth Proportional to 20,134.98, 30,205.98 and 7,656.08

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Solution

The fourth proportional to 20,134.98, 30,205.98 and 7,656.08 is: 11,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.98 : 30,205.98 = 7,656.08 : x
  2. Step 2: Convert to fraction form
    20,134.98/30,205.98 = 7,656.08/x
  3. Step 3: Cross multiply
    20,134.98x = 30,205.98 × 7,656.08
  4. Step 4: Simplify right side
    20,134.98x = 231,259,248.33
  5. Step 5: Solve for x
    x = 231,259,248.33/20,134.98
  6. Step 6: Final answer
    x = 11,485.45

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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.