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Finding the Fourth Proportional to 8,256.50, 12,384.73 and 2,923.62

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Solution

The fourth proportional to 8,256.50, 12,384.73 and 2,923.62 is: 4,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.50 : 12,384.73 = 2,923.62 : x
  2. Step 2: Convert to fraction form
    8,256.50/12,384.73 = 2,923.62/x
  3. Step 3: Cross multiply
    8,256.50x = 12,384.73 × 2,923.62
  4. Step 4: Simplify right side
    8,256.50x = 36,208,237.01
  5. Step 5: Solve for x
    x = 36,208,237.01/8,256.50
  6. Step 6: Final answer
    x = 4,385.42

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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.