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Finding the Fourth Proportional to 20,674.80, 31,003.20 and 9,577.80

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Solution

The fourth proportional to 20,674.80, 31,003.20 and 9,577.80 is: 14,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.80 : 31,003.20 = 9,577.80 : x
  2. Step 2: Convert to fraction form
    20,674.80/31,003.20 = 9,577.80/x
  3. Step 3: Cross multiply
    20,674.80x = 31,003.20 × 9,577.80
  4. Step 4: Simplify right side
    20,674.80x = 296,942,448.96
  5. Step 5: Solve for x
    x = 296,942,448.96/20,674.80
  6. Step 6: Final answer
    x = 14,362.53

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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.