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Finding the Fourth Proportional to 30,504.62, 45,738.84 and 9,438.42

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Solution

The fourth proportional to 30,504.62, 45,738.84 and 9,438.42 is: 14,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504.62 : 45,738.84 = 9,438.42 : x
  2. Step 2: Convert to fraction form
    30,504.62/45,738.84 = 9,438.42/x
  3. Step 3: Cross multiply
    30,504.62x = 45,738.84 × 9,438.42
  4. Step 4: Simplify right side
    30,504.62x = 431,702,382.23
  5. Step 5: Solve for x
    x = 431,702,382.23/30,504.62
  6. Step 6: Final answer
    x = 14,152.04

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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.