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Finding the Fourth Proportional to 8,152, 12,219.72 and 3,214.86

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Solution

The fourth proportional to 8,152, 12,219.72 and 3,214.86 is: 4,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152 : 12,219.72 = 3,214.86 : x
  2. Step 2: Convert to fraction form
    8,152/12,219.72 = 3,214.86/x
  3. Step 3: Cross multiply
    8,152x = 12,219.72 × 3,214.86
  4. Step 4: Simplify right side
    8,152x = 39,284,689.04
  5. Step 5: Solve for x
    x = 39,284,689.04/8,152
  6. Step 6: Final answer
    x = 4,819.02

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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.