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Finding the Fourth Proportional to 8,385.62, 12,580 and 4,003.38

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Solution

The fourth proportional to 8,385.62, 12,580 and 4,003.38 is: 6,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.62 : 12,580 = 4,003.38 : x
  2. Step 2: Convert to fraction form
    8,385.62/12,580 = 4,003.38/x
  3. Step 3: Cross multiply
    8,385.62x = 12,580 × 4,003.38
  4. Step 4: Simplify right side
    8,385.62x = 50,362,520.40
  5. Step 5: Solve for x
    x = 50,362,520.40/8,385.62
  6. Step 6: Final answer
    x = 6,005.82

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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.