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Finding the Fourth Proportional to 8,646.15, 12,936.51 and 5,138.04

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Solution

The fourth proportional to 8,646.15, 12,936.51 and 5,138.04 is: 7,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.15 : 12,936.51 = 5,138.04 : x
  2. Step 2: Convert to fraction form
    8,646.15/12,936.51 = 5,138.04/x
  3. Step 3: Cross multiply
    8,646.15x = 12,936.51 × 5,138.04
  4. Step 4: Simplify right side
    8,646.15x = 66,468,305.84
  5. Step 5: Solve for x
    x = 66,468,305.84/8,646.15
  6. Step 6: Final answer
    x = 7,687.62

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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.