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Finding the Fourth Proportional to 8,648.30, 12,972.13 and 2,804.75

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Solution

The fourth proportional to 8,648.30, 12,972.13 and 2,804.75 is: 4,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.30 : 12,972.13 = 2,804.75 : x
  2. Step 2: Convert to fraction form
    8,648.30/12,972.13 = 2,804.75/x
  3. Step 3: Cross multiply
    8,648.30x = 12,972.13 × 2,804.75
  4. Step 4: Simplify right side
    8,648.30x = 36,383,581.62
  5. Step 5: Solve for x
    x = 36,383,581.62/8,648.30
  6. Step 6: Final answer
    x = 4,207.02

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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.