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Finding the Fourth Proportional to 20,458.68, 30,517.63 and 20,120

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Solution

The fourth proportional to 20,458.68, 30,517.63 and 20,120 is: 30,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.68 : 30,517.63 = 20,120 : x
  2. Step 2: Convert to fraction form
    20,458.68/30,517.63 = 20,120/x
  3. Step 3: Cross multiply
    20,458.68x = 30,517.63 × 20,120
  4. Step 4: Simplify right side
    20,458.68x = 614,014,715.60
  5. Step 5: Solve for x
    x = 614,014,715.60/20,458.68
  6. Step 6: Final answer
    x = 30,012.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.