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Finding the Fourth Proportional to 20,549.59, 30,813.27 and 7,219.14

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Solution

The fourth proportional to 20,549.59, 30,813.27 and 7,219.14 is: 10,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.59 : 30,813.27 = 7,219.14 : x
  2. Step 2: Convert to fraction form
    20,549.59/30,813.27 = 7,219.14/x
  3. Step 3: Cross multiply
    20,549.59x = 30,813.27 × 7,219.14
  4. Step 4: Simplify right side
    20,549.59x = 222,445,309.99
  5. Step 5: Solve for x
    x = 222,445,309.99/20,549.59
  6. Step 6: Final answer
    x = 10,824.81

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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.