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Finding the Fourth Proportional to 8,209.62, 12,312.99 and 2,662.16

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Solution

The fourth proportional to 8,209.62, 12,312.99 and 2,662.16 is: 3,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.62 : 12,312.99 = 2,662.16 : x
  2. Step 2: Convert to fraction form
    8,209.62/12,312.99 = 2,662.16/x
  3. Step 3: Cross multiply
    8,209.62x = 12,312.99 × 2,662.16
  4. Step 4: Simplify right side
    8,209.62x = 32,779,087.89
  5. Step 5: Solve for x
    x = 32,779,087.89/8,209.62
  6. Step 6: Final answer
    x = 3,992.77

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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.