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Finding the Fourth Proportional to 17,908.84, 26,859.18 and 6,811.60

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Solution

The fourth proportional to 17,908.84, 26,859.18 and 6,811.60 is: 10,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.84 : 26,859.18 = 6,811.60 : x
  2. Step 2: Convert to fraction form
    17,908.84/26,859.18 = 6,811.60/x
  3. Step 3: Cross multiply
    17,908.84x = 26,859.18 × 6,811.60
  4. Step 4: Simplify right side
    17,908.84x = 182,953,990.49
  5. Step 5: Solve for x
    x = 182,953,990.49/17,908.84
  6. Step 6: Final answer
    x = 10,215.85

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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.