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Finding the Fourth Proportional to 15,856, 21,881.96 and 8,782.44

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Solution

The fourth proportional to 15,856, 21,881.96 and 8,782.44 is: 12,120.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856 : 21,881.96 = 8,782.44 : x
  2. Step 2: Convert to fraction form
    15,856/21,881.96 = 8,782.44/x
  3. Step 3: Cross multiply
    15,856x = 21,881.96 × 8,782.44
  4. Step 4: Simplify right side
    15,856x = 192,177,000.78
  5. Step 5: Solve for x
    x = 192,177,000.78/15,856
  6. Step 6: Final answer
    x = 12,120.14

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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.