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Finding the Fourth Proportional to 20,411.60, 30,629.24 and 7,940.23

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Solution

The fourth proportional to 20,411.60, 30,629.24 and 7,940.23 is: 11,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.60 : 30,629.24 = 7,940.23 : x
  2. Step 2: Convert to fraction form
    20,411.60/30,629.24 = 7,940.23/x
  3. Step 3: Cross multiply
    20,411.60x = 30,629.24 × 7,940.23
  4. Step 4: Simplify right side
    20,411.60x = 243,203,123.83
  5. Step 5: Solve for x
    x = 243,203,123.83/20,411.60
  6. Step 6: Final answer
    x = 11,914.95

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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.