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Finding the Fourth Proportional to 17,715.08, 26,554.39 and 7,859

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Solution

The fourth proportional to 17,715.08, 26,554.39 and 7,859 is: 11,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.08 : 26,554.39 = 7,859 : x
  2. Step 2: Convert to fraction form
    17,715.08/26,554.39 = 7,859/x
  3. Step 3: Cross multiply
    17,715.08x = 26,554.39 × 7,859
  4. Step 4: Simplify right side
    17,715.08x = 208,690,951.01
  5. Step 5: Solve for x
    x = 208,690,951.01/17,715.08
  6. Step 6: Final answer
    x = 11,780.41

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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.