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Finding the Fourth Proportional to 8,536.26, 12,809.79 and 3,342

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Solution

The fourth proportional to 8,536.26, 12,809.79 and 3,342 is: 5,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.26 : 12,809.79 = 3,342 : x
  2. Step 2: Convert to fraction form
    8,536.26/12,809.79 = 3,342/x
  3. Step 3: Cross multiply
    8,536.26x = 12,809.79 × 3,342
  4. Step 4: Simplify right side
    8,536.26x = 42,810,318.18
  5. Step 5: Solve for x
    x = 42,810,318.18/8,536.26
  6. Step 6: Final answer
    x = 5,015.11

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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.