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Finding the Fourth Proportional to 8,675.84, 13,012.41 and 2,831.15

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Solution

The fourth proportional to 8,675.84, 13,012.41 and 2,831.15 is: 4,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.84 : 13,012.41 = 2,831.15 : x
  2. Step 2: Convert to fraction form
    8,675.84/13,012.41 = 2,831.15/x
  3. Step 3: Cross multiply
    8,675.84x = 13,012.41 × 2,831.15
  4. Step 4: Simplify right side
    8,675.84x = 36,840,084.57
  5. Step 5: Solve for x
    x = 36,840,084.57/8,675.84
  6. Step 6: Final answer
    x = 4,246.28

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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.