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Finding the Fourth Proportional to 30,556.87, 45,835.33 and 8,370.43

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Solution

The fourth proportional to 30,556.87, 45,835.33 and 8,370.43 is: 12,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.87 : 45,835.33 = 8,370.43 : x
  2. Step 2: Convert to fraction form
    30,556.87/45,835.33 = 8,370.43/x
  3. Step 3: Cross multiply
    30,556.87x = 45,835.33 × 8,370.43
  4. Step 4: Simplify right side
    30,556.87x = 383,661,567.27
  5. Step 5: Solve for x
    x = 383,661,567.27/30,556.87
  6. Step 6: Final answer
    x = 12,555.66

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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.