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Finding the Fourth Proportional to 30,566.76, 45,841.83 and 8,374.78

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Solution

The fourth proportional to 30,566.76, 45,841.83 and 8,374.78 is: 12,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.76 : 45,841.83 = 8,374.78 : x
  2. Step 2: Convert to fraction form
    30,566.76/45,841.83 = 8,374.78/x
  3. Step 3: Cross multiply
    30,566.76x = 45,841.83 × 8,374.78
  4. Step 4: Simplify right side
    30,566.76x = 383,915,241.05
  5. Step 5: Solve for x
    x = 383,915,241.05/30,566.76
  6. Step 6: Final answer
    x = 12,559.89

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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.