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Finding the Fourth Proportional to 12,596, 18,894.78 and 3,831.56

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Solution

The fourth proportional to 12,596, 18,894.78 and 3,831.56 is: 5,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 18,894.78 = 3,831.56 : x
  2. Step 2: Convert to fraction form
    12,596/18,894.78 = 3,831.56/x
  3. Step 3: Cross multiply
    12,596x = 18,894.78 × 3,831.56
  4. Step 4: Simplify right side
    12,596x = 72,396,483.26
  5. Step 5: Solve for x
    x = 72,396,483.26/12,596
  6. Step 6: Final answer
    x = 5,747.58

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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.