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Finding the Fourth Proportional to 8,672.13, 13,006.85 and 2,828.70

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Solution

The fourth proportional to 8,672.13, 13,006.85 and 2,828.70 is: 4,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672.13 : 13,006.85 = 2,828.70 : x
  2. Step 2: Convert to fraction form
    8,672.13/13,006.85 = 2,828.70/x
  3. Step 3: Cross multiply
    8,672.13x = 13,006.85 × 2,828.70
  4. Step 4: Simplify right side
    8,672.13x = 36,792,462.45
  5. Step 5: Solve for x
    x = 36,792,462.45/8,672.13
  6. Step 6: Final answer
    x = 4,242.61

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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.