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Finding the Fourth Proportional to 8,472.29, 12,706.01 and 3,276.95

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Solution

The fourth proportional to 8,472.29, 12,706.01 and 3,276.95 is: 4,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.29 : 12,706.01 = 3,276.95 : x
  2. Step 2: Convert to fraction form
    8,472.29/12,706.01 = 3,276.95/x
  3. Step 3: Cross multiply
    8,472.29x = 12,706.01 × 3,276.95
  4. Step 4: Simplify right side
    8,472.29x = 41,636,954.10
  5. Step 5: Solve for x
    x = 41,636,954.10/8,472.29
  6. Step 6: Final answer
    x = 4,914.49

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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.