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Finding the Fourth Proportional to 8,456, 12,684.80 and 2,909.12

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Solution

The fourth proportional to 8,456, 12,684.80 and 2,909.12 is: 4,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456 : 12,684.80 = 2,909.12 : x
  2. Step 2: Convert to fraction form
    8,456/12,684.80 = 2,909.12/x
  3. Step 3: Cross multiply
    8,456x = 12,684.80 × 2,909.12
  4. Step 4: Simplify right side
    8,456x = 36,901,605.38
  5. Step 5: Solve for x
    x = 36,901,605.38/8,456
  6. Step 6: Final answer
    x = 4,363.96

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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.