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Finding the Fourth Proportional to 17,718.82, 26,584.36 and 7,865

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Solution

The fourth proportional to 17,718.82, 26,584.36 and 7,865 is: 11,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.82 : 26,584.36 = 7,865 : x
  2. Step 2: Convert to fraction form
    17,718.82/26,584.36 = 7,865/x
  3. Step 3: Cross multiply
    17,718.82x = 26,584.36 × 7,865
  4. Step 4: Simplify right side
    17,718.82x = 209,085,991.40
  5. Step 5: Solve for x
    x = 209,085,991.40/17,718.82
  6. Step 6: Final answer
    x = 11,800.22

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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.