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Finding the Fourth Proportional to 20,492.49, 30,739.80 and 6,452.87

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Solution

The fourth proportional to 20,492.49, 30,739.80 and 6,452.87 is: 9,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.49 : 30,739.80 = 6,452.87 : x
  2. Step 2: Convert to fraction form
    20,492.49/30,739.80 = 6,452.87/x
  3. Step 3: Cross multiply
    20,492.49x = 30,739.80 × 6,452.87
  4. Step 4: Simplify right side
    20,492.49x = 198,359,803.73
  5. Step 5: Solve for x
    x = 198,359,803.73/20,492.49
  6. Step 6: Final answer
    x = 9,679.63

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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.