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Finding the Fourth Proportional to 12,594.47, 18,891.02 and 3,828.70

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Solution

The fourth proportional to 12,594.47, 18,891.02 and 3,828.70 is: 5,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.47 : 18,891.02 = 3,828.70 : x
  2. Step 2: Convert to fraction form
    12,594.47/18,891.02 = 3,828.70/x
  3. Step 3: Cross multiply
    12,594.47x = 18,891.02 × 3,828.70
  4. Step 4: Simplify right side
    12,594.47x = 72,328,048.27
  5. Step 5: Solve for x
    x = 72,328,048.27/12,594.47
  6. Step 6: Final answer
    x = 5,742.84

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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.