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Finding the Fourth Proportional to 12,657.94, 18,986.94 and 3,423.94

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Solution

The fourth proportional to 12,657.94, 18,986.94 and 3,423.94 is: 5,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.94 : 18,986.94 = 3,423.94 : x
  2. Step 2: Convert to fraction form
    12,657.94/18,986.94 = 3,423.94/x
  3. Step 3: Cross multiply
    12,657.94x = 18,986.94 × 3,423.94
  4. Step 4: Simplify right side
    12,657.94x = 65,010,095.88
  5. Step 5: Solve for x
    x = 65,010,095.88/12,657.94
  6. Step 6: Final answer
    x = 5,135.92

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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.