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Finding the Fourth Proportional to 17,772.64, 26,636.64 and 8,412.64

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Solution

The fourth proportional to 17,772.64, 26,636.64 and 8,412.64 is: 12,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.64 : 26,636.64 = 8,412.64 : x
  2. Step 2: Convert to fraction form
    17,772.64/26,636.64 = 8,412.64/x
  3. Step 3: Cross multiply
    17,772.64x = 26,636.64 × 8,412.64
  4. Step 4: Simplify right side
    17,772.64x = 224,084,463.13
  5. Step 5: Solve for x
    x = 224,084,463.13/17,772.64
  6. Step 6: Final answer
    x = 12,608.39

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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.