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Finding the Fourth Proportional to 15,769, 21,761.37 and 8,695.66

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Solution

The fourth proportional to 15,769, 21,761.37 and 8,695.66 is: 12,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769 : 21,761.37 = 8,695.66 : x
  2. Step 2: Convert to fraction form
    15,769/21,761.37 = 8,695.66/x
  3. Step 3: Cross multiply
    15,769x = 21,761.37 × 8,695.66
  4. Step 4: Simplify right side
    15,769x = 189,229,474.65
  5. Step 5: Solve for x
    x = 189,229,474.65/15,769
  6. Step 6: Final answer
    x = 12,000.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.