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Finding the Fourth Proportional to 30,377.67, 45,566.38 and 8,193.29

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Solution

The fourth proportional to 30,377.67, 45,566.38 and 8,193.29 is: 12,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,377.67 : 45,566.38 = 8,193.29 : x
  2. Step 2: Convert to fraction form
    30,377.67/45,566.38 = 8,193.29/x
  3. Step 3: Cross multiply
    30,377.67x = 45,566.38 × 8,193.29
  4. Step 4: Simplify right side
    30,377.67x = 373,338,565.59
  5. Step 5: Solve for x
    x = 373,338,565.59/30,377.67
  6. Step 6: Final answer
    x = 12,289.90

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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.