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Finding the Fourth Proportional to 8,379.95, 12,569.94 and 2,831.81

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Solution

The fourth proportional to 8,379.95, 12,569.94 and 2,831.81 is: 4,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.95 : 12,569.94 = 2,831.81 : x
  2. Step 2: Convert to fraction form
    8,379.95/12,569.94 = 2,831.81/x
  3. Step 3: Cross multiply
    8,379.95x = 12,569.94 × 2,831.81
  4. Step 4: Simplify right side
    8,379.95x = 35,595,618.94
  5. Step 5: Solve for x
    x = 35,595,618.94/8,379.95
  6. Step 6: Final answer
    x = 4,247.72

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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.