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Finding the Fourth Proportional to 12,384.81, 18,545.49 and 6,831.98

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Solution

The fourth proportional to 12,384.81, 18,545.49 and 6,831.98 is: 10,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.81 : 18,545.49 = 6,831.98 : x
  2. Step 2: Convert to fraction form
    12,384.81/18,545.49 = 6,831.98/x
  3. Step 3: Cross multiply
    12,384.81x = 18,545.49 × 6,831.98
  4. Step 4: Simplify right side
    12,384.81x = 126,702,336.25
  5. Step 5: Solve for x
    x = 126,702,336.25/12,384.81
  6. Step 6: Final answer
    x = 10,230.47

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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.