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Finding the Fourth Proportional to 26,927.97, 40,398.09 and 8,209.68

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Solution

The fourth proportional to 26,927.97, 40,398.09 and 8,209.68 is: 12,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,927.97 : 40,398.09 = 8,209.68 : x
  2. Step 2: Convert to fraction form
    26,927.97/40,398.09 = 8,209.68/x
  3. Step 3: Cross multiply
    26,927.97x = 40,398.09 × 8,209.68
  4. Step 4: Simplify right side
    26,927.97x = 331,655,391.51
  5. Step 5: Solve for x
    x = 331,655,391.51/26,927.97
  6. Step 6: Final answer
    x = 12,316.39

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1.5x scale

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.