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Finding the Fourth Proportional to 17,767.84, 26,669.04 and 8,540.32

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Solution

The fourth proportional to 17,767.84, 26,669.04 and 8,540.32 is: 12,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.84 : 26,669.04 = 8,540.32 : x
  2. Step 2: Convert to fraction form
    17,767.84/26,669.04 = 8,540.32/x
  3. Step 3: Cross multiply
    17,767.84x = 26,669.04 × 8,540.32
  4. Step 4: Simplify right side
    17,767.84x = 227,762,135.69
  5. Step 5: Solve for x
    x = 227,762,135.69/17,767.84
  6. Step 6: Final answer
    x = 12,818.79

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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.