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Finding the Fourth Proportional to 8,472.16, 12,706.68 and 3,540.48

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Solution

The fourth proportional to 8,472.16, 12,706.68 and 3,540.48 is: 5,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.16 : 12,706.68 = 3,540.48 : x
  2. Step 2: Convert to fraction form
    8,472.16/12,706.68 = 3,540.48/x
  3. Step 3: Cross multiply
    8,472.16x = 12,706.68 × 3,540.48
  4. Step 4: Simplify right side
    8,472.16x = 44,987,746.41
  5. Step 5: Solve for x
    x = 44,987,746.41/8,472.16
  6. Step 6: Final answer
    x = 5,310.07

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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.