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Finding the Fourth Proportional to 20,442.81, 30,664.14 and 5,651.70

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Solution

The fourth proportional to 20,442.81, 30,664.14 and 5,651.70 is: 8,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.81 : 30,664.14 = 5,651.70 : x
  2. Step 2: Convert to fraction form
    20,442.81/30,664.14 = 5,651.70/x
  3. Step 3: Cross multiply
    20,442.81x = 30,664.14 × 5,651.70
  4. Step 4: Simplify right side
    20,442.81x = 173,304,520.04
  5. Step 5: Solve for x
    x = 173,304,520.04/20,442.81
  6. Step 6: Final answer
    x = 8,477.53

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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.