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Finding the Fourth Proportional to 17,670, 26,511.24 and 7,808

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Solution

The fourth proportional to 17,670, 26,511.24 and 7,808 is: 11,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670 : 26,511.24 = 7,808 : x
  2. Step 2: Convert to fraction form
    17,670/26,511.24 = 7,808/x
  3. Step 3: Cross multiply
    17,670x = 26,511.24 × 7,808
  4. Step 4: Simplify right side
    17,670x = 206,999,761.92
  5. Step 5: Solve for x
    x = 206,999,761.92/17,670
  6. Step 6: Final answer
    x = 11,714.76

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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.