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Finding the Fourth Proportional to 17,677.80, 26,515.08 and 8,918.64

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Solution

The fourth proportional to 17,677.80, 26,515.08 and 8,918.64 is: 13,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.80 : 26,515.08 = 8,918.64 : x
  2. Step 2: Convert to fraction form
    17,677.80/26,515.08 = 8,918.64/x
  3. Step 3: Cross multiply
    17,677.80x = 26,515.08 × 8,918.64
  4. Step 4: Simplify right side
    17,677.80x = 236,478,453.09
  5. Step 5: Solve for x
    x = 236,478,453.09/17,677.80
  6. Step 6: Final answer
    x = 13,377.14

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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.