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Finding the Fourth Proportional to 8,326.84, 12,487.50 and 2,778.64

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Solution

The fourth proportional to 8,326.84, 12,487.50 and 2,778.64 is: 4,167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.84 : 12,487.50 = 2,778.64 : x
  2. Step 2: Convert to fraction form
    8,326.84/12,487.50 = 2,778.64/x
  3. Step 3: Cross multiply
    8,326.84x = 12,487.50 × 2,778.64
  4. Step 4: Simplify right side
    8,326.84x = 34,698,267
  5. Step 5: Solve for x
    x = 34,698,267/8,326.84
  6. Step 6: Final answer
    x = 4,167.04

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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.