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Finding the Fourth Proportional to 30,747.73, 46,119.30 and 8,256.55

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Solution

The fourth proportional to 30,747.73, 46,119.30 and 8,256.55 is: 12,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.73 : 46,119.30 = 8,256.55 : x
  2. Step 2: Convert to fraction form
    30,747.73/46,119.30 = 8,256.55/x
  3. Step 3: Cross multiply
    30,747.73x = 46,119.30 × 8,256.55
  4. Step 4: Simplify right side
    30,747.73x = 380,786,306.42
  5. Step 5: Solve for x
    x = 380,786,306.42/30,747.73
  6. Step 6: Final answer
    x = 12,384.21

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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.