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Finding the Fourth Proportional to 8,583.86, 12,878.25 and 4,202.60

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Solution

The fourth proportional to 8,583.86, 12,878.25 and 4,202.60 is: 6,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.86 : 12,878.25 = 4,202.60 : x
  2. Step 2: Convert to fraction form
    8,583.86/12,878.25 = 4,202.60/x
  3. Step 3: Cross multiply
    8,583.86x = 12,878.25 × 4,202.60
  4. Step 4: Simplify right side
    8,583.86x = 54,122,133.45
  5. Step 5: Solve for x
    x = 54,122,133.45/8,583.86
  6. Step 6: Final answer
    x = 6,305.10

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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.