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Finding the Fourth Proportional to 8,509.64, 12,737.52 and 6,936.21

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Solution

The fourth proportional to 8,509.64, 12,737.52 and 6,936.21 is: 10,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.64 : 12,737.52 = 6,936.21 : x
  2. Step 2: Convert to fraction form
    8,509.64/12,737.52 = 6,936.21/x
  3. Step 3: Cross multiply
    8,509.64x = 12,737.52 × 6,936.21
  4. Step 4: Simplify right side
    8,509.64x = 88,350,113.60
  5. Step 5: Solve for x
    x = 88,350,113.60/8,509.64
  6. Step 6: Final answer
    x = 10,382.36

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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.