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Finding the Fourth Proportional to 17,260.72, 25,891.04 and 6,870

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Solution

The fourth proportional to 17,260.72, 25,891.04 and 6,870 is: 10,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,260.72 : 25,891.04 = 6,870 : x
  2. Step 2: Convert to fraction form
    17,260.72/25,891.04 = 6,870/x
  3. Step 3: Cross multiply
    17,260.72x = 25,891.04 × 6,870
  4. Step 4: Simplify right side
    17,260.72x = 177,871,444.80
  5. Step 5: Solve for x
    x = 177,871,444.80/17,260.72
  6. Step 6: Final answer
    x = 10,304.98

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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.