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Finding the Fourth Proportional to 20,489.80, 30,734.70 and 14,633.50

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Solution

The fourth proportional to 20,489.80, 30,734.70 and 14,633.50 is: 21,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.80 : 30,734.70 = 14,633.50 : x
  2. Step 2: Convert to fraction form
    20,489.80/30,734.70 = 14,633.50/x
  3. Step 3: Cross multiply
    20,489.80x = 30,734.70 × 14,633.50
  4. Step 4: Simplify right side
    20,489.80x = 449,756,232.45
  5. Step 5: Solve for x
    x = 449,756,232.45/20,489.80
  6. Step 6: Final answer
    x = 21,950.25

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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.