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Finding the Fourth Proportional to 15,879, 23,827.14 and 7,671

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Solution

The fourth proportional to 15,879, 23,827.14 and 7,671 is: 11,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879 : 23,827.14 = 7,671 : x
  2. Step 2: Convert to fraction form
    15,879/23,827.14 = 7,671/x
  3. Step 3: Cross multiply
    15,879x = 23,827.14 × 7,671
  4. Step 4: Simplify right side
    15,879x = 182,777,990.94
  5. Step 5: Solve for x
    x = 182,777,990.94/15,879
  6. Step 6: Final answer
    x = 11,510.67

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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.