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Finding the Fourth Proportional to 8,403.98, 12,604.49 and 3,137.81

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Solution

The fourth proportional to 8,403.98, 12,604.49 and 3,137.81 is: 4,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.98 : 12,604.49 = 3,137.81 : x
  2. Step 2: Convert to fraction form
    8,403.98/12,604.49 = 3,137.81/x
  3. Step 3: Cross multiply
    8,403.98x = 12,604.49 × 3,137.81
  4. Step 4: Simplify right side
    8,403.98x = 39,550,479.08
  5. Step 5: Solve for x
    x = 39,550,479.08/8,403.98
  6. Step 6: Final answer
    x = 4,706.16

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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.