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Finding the Fourth Proportional to 8,451.39, 12,678 and 3,518.29

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Solution

The fourth proportional to 8,451.39, 12,678 and 3,518.29 is: 5,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.39 : 12,678 = 3,518.29 : x
  2. Step 2: Convert to fraction form
    8,451.39/12,678 = 3,518.29/x
  3. Step 3: Cross multiply
    8,451.39x = 12,678 × 3,518.29
  4. Step 4: Simplify right side
    8,451.39x = 44,604,880.62
  5. Step 5: Solve for x
    x = 44,604,880.62/8,451.39
  6. Step 6: Final answer
    x = 5,277.82

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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.