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Finding the Fourth Proportional to 20,532.88, 30,803.96 and 6,493.76

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Solution

The fourth proportional to 20,532.88, 30,803.96 and 6,493.76 is: 9,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.88 : 30,803.96 = 6,493.76 : x
  2. Step 2: Convert to fraction form
    20,532.88/30,803.96 = 6,493.76/x
  3. Step 3: Cross multiply
    20,532.88x = 30,803.96 × 6,493.76
  4. Step 4: Simplify right side
    20,532.88x = 200,033,523.29
  5. Step 5: Solve for x
    x = 200,033,523.29/20,532.88
  6. Step 6: Final answer
    x = 9,742.11

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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.