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Finding the Fourth Proportional to 20,959.20, 31,438.80 and 8,485.20

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Solution

The fourth proportional to 20,959.20, 31,438.80 and 8,485.20 is: 12,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.20 : 31,438.80 = 8,485.20 : x
  2. Step 2: Convert to fraction form
    20,959.20/31,438.80 = 8,485.20/x
  3. Step 3: Cross multiply
    20,959.20x = 31,438.80 × 8,485.20
  4. Step 4: Simplify right side
    20,959.20x = 266,764,505.76
  5. Step 5: Solve for x
    x = 266,764,505.76/20,959.20
  6. Step 6: Final answer
    x = 12,727.80

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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.