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Finding the Fourth Proportional to 17,811.97, 26,700.34 and 8,435.51

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Solution

The fourth proportional to 17,811.97, 26,700.34 and 8,435.51 is: 12,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.97 : 26,700.34 = 8,435.51 : x
  2. Step 2: Convert to fraction form
    17,811.97/26,700.34 = 8,435.51/x
  3. Step 3: Cross multiply
    17,811.97x = 26,700.34 × 8,435.51
  4. Step 4: Simplify right side
    17,811.97x = 225,231,030.74
  5. Step 5: Solve for x
    x = 225,231,030.74/17,811.97
  6. Step 6: Final answer
    x = 12,644.92

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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.