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Finding the Fourth Proportional to 8,755.64, 13,138.46 and 3,208.24

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Solution

The fourth proportional to 8,755.64, 13,138.46 and 3,208.24 is: 4,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,755.64 : 13,138.46 = 3,208.24 : x
  2. Step 2: Convert to fraction form
    8,755.64/13,138.46 = 3,208.24/x
  3. Step 3: Cross multiply
    8,755.64x = 13,138.46 × 3,208.24
  4. Step 4: Simplify right side
    8,755.64x = 42,151,332.91
  5. Step 5: Solve for x
    x = 42,151,332.91/8,755.64
  6. Step 6: Final answer
    x = 4,814.19

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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.