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Finding the Fourth Proportional to 3,245.86, 4,478.78 and 1,829.47

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Solution

The fourth proportional to 3,245.86, 4,478.78 and 1,829.47 is: 2,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.86 : 4,478.78 = 1,829.47 : x
  2. Step 2: Convert to fraction form
    3,245.86/4,478.78 = 1,829.47/x
  3. Step 3: Cross multiply
    3,245.86x = 4,478.78 × 1,829.47
  4. Step 4: Simplify right side
    3,245.86x = 8,193,793.65
  5. Step 5: Solve for x
    x = 8,193,793.65/3,245.86
  6. Step 6: Final answer
    x = 2,524.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.