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Finding the Fourth Proportional to 8,255, 12,384.42 and 2,783

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Solution

The fourth proportional to 8,255, 12,384.42 and 2,783 is: 4,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255 : 12,384.42 = 2,783 : x
  2. Step 2: Convert to fraction form
    8,255/12,384.42 = 2,783/x
  3. Step 3: Cross multiply
    8,255x = 12,384.42 × 2,783
  4. Step 4: Simplify right side
    8,255x = 34,465,840.86
  5. Step 5: Solve for x
    x = 34,465,840.86/8,255
  6. Step 6: Final answer
    x = 4,175.15

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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.