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Finding the Fourth Proportional to 20,611.57, 30,913.77 and 9,517.32

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Solution

The fourth proportional to 20,611.57, 30,913.77 and 9,517.32 is: 14,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,611.57 : 30,913.77 = 9,517.32 : x
  2. Step 2: Convert to fraction form
    20,611.57/30,913.77 = 9,517.32/x
  3. Step 3: Cross multiply
    20,611.57x = 30,913.77 × 9,517.32
  4. Step 4: Simplify right side
    20,611.57x = 294,216,241.50
  5. Step 5: Solve for x
    x = 294,216,241.50/20,611.57
  6. Step 6: Final answer
    x = 14,274.32

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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.