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Finding the Fourth Proportional to 8,564, 12,821.04 and 6,091.04

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Solution

The fourth proportional to 8,564, 12,821.04 and 6,091.04 is: 9,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 12,821.04 = 6,091.04 : x
  2. Step 2: Convert to fraction form
    8,564/12,821.04 = 6,091.04/x
  3. Step 3: Cross multiply
    8,564x = 12,821.04 × 6,091.04
  4. Step 4: Simplify right side
    8,564x = 78,093,467.48
  5. Step 5: Solve for x
    x = 78,093,467.48/8,564
  6. Step 6: Final answer
    x = 9,118.81

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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.