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Finding the Fourth Proportional to 20,655.19, 30,965.27 and 8,184.03

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Solution

The fourth proportional to 20,655.19, 30,965.27 and 8,184.03 is: 12,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.19 : 30,965.27 = 8,184.03 : x
  2. Step 2: Convert to fraction form
    20,655.19/30,965.27 = 8,184.03/x
  3. Step 3: Cross multiply
    20,655.19x = 30,965.27 × 8,184.03
  4. Step 4: Simplify right side
    20,655.19x = 253,420,698.64
  5. Step 5: Solve for x
    x = 253,420,698.64/20,655.19
  6. Step 6: Final answer
    x = 12,269.11

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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.