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Finding the Fourth Proportional to 8,638.65, 12,949.77 and 6,411.56

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Solution

The fourth proportional to 8,638.65, 12,949.77 and 6,411.56 is: 9,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.65 : 12,949.77 = 6,411.56 : x
  2. Step 2: Convert to fraction form
    8,638.65/12,949.77 = 6,411.56/x
  3. Step 3: Cross multiply
    8,638.65x = 12,949.77 × 6,411.56
  4. Step 4: Simplify right side
    8,638.65x = 83,028,186.64
  5. Step 5: Solve for x
    x = 83,028,186.64/8,638.65
  6. Step 6: Final answer
    x = 9,611.25

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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.