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Finding the Fourth Proportional to 20,551.50, 30,827.22 and 4,969.11

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Solution

The fourth proportional to 20,551.50, 30,827.22 and 4,969.11 is: 7,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.50 : 30,827.22 = 4,969.11 : x
  2. Step 2: Convert to fraction form
    20,551.50/30,827.22 = 4,969.11/x
  3. Step 3: Cross multiply
    20,551.50x = 30,827.22 × 4,969.11
  4. Step 4: Simplify right side
    20,551.50x = 153,183,847.17
  5. Step 5: Solve for x
    x = 153,183,847.17/20,551.50
  6. Step 6: Final answer
    x = 7,453.66

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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.