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Finding the Fourth Proportional to 20,003.88, 30,005.82 and 7,689

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Solution

The fourth proportional to 20,003.88, 30,005.82 and 7,689 is: 11,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.88 : 30,005.82 = 7,689 : x
  2. Step 2: Convert to fraction form
    20,003.88/30,005.82 = 7,689/x
  3. Step 3: Cross multiply
    20,003.88x = 30,005.82 × 7,689
  4. Step 4: Simplify right side
    20,003.88x = 230,714,749.98
  5. Step 5: Solve for x
    x = 230,714,749.98/20,003.88
  6. Step 6: Final answer
    x = 11,533.50

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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.