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Finding the Fourth Proportional to 12,594, 18,891.78 and 3,829.56

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Solution

The fourth proportional to 12,594, 18,891.78 and 3,829.56 is: 5,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594 : 18,891.78 = 3,829.56 : x
  2. Step 2: Convert to fraction form
    12,594/18,891.78 = 3,829.56/x
  3. Step 3: Cross multiply
    12,594x = 18,891.78 × 3,829.56
  4. Step 4: Simplify right side
    12,594x = 72,347,205.02
  5. Step 5: Solve for x
    x = 72,347,205.02/12,594
  6. Step 6: Final answer
    x = 5,744.58

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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.