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Finding the Fourth Proportional to 35,215.12, 52,824.61 and 8,920.09

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Solution

The fourth proportional to 35,215.12, 52,824.61 and 8,920.09 is: 13,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,215.12 : 52,824.61 = 8,920.09 : x
  2. Step 2: Convert to fraction form
    35,215.12/52,824.61 = 8,920.09/x
  3. Step 3: Cross multiply
    35,215.12x = 52,824.61 × 8,920.09
  4. Step 4: Simplify right side
    35,215.12x = 471,200,302.42
  5. Step 5: Solve for x
    x = 471,200,302.42/35,215.12
  6. Step 6: Final answer
    x = 13,380.62

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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.