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Finding the Fourth Proportional to 8,516.51, 12,763.95 and 3,831.52

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Solution

The fourth proportional to 8,516.51, 12,763.95 and 3,831.52 is: 5,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.51 : 12,763.95 = 3,831.52 : x
  2. Step 2: Convert to fraction form
    8,516.51/12,763.95 = 3,831.52/x
  3. Step 3: Cross multiply
    8,516.51x = 12,763.95 × 3,831.52
  4. Step 4: Simplify right side
    8,516.51x = 48,905,329.70
  5. Step 5: Solve for x
    x = 48,905,329.70/8,516.51
  6. Step 6: Final answer
    x = 5,742.41

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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.