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Finding the Fourth Proportional to 12,876, 19,308.96 and 5,483.84

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Solution

The fourth proportional to 12,876, 19,308.96 and 5,483.84 is: 8,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876 : 19,308.96 = 5,483.84 : x
  2. Step 2: Convert to fraction form
    12,876/19,308.96 = 5,483.84/x
  3. Step 3: Cross multiply
    12,876x = 19,308.96 × 5,483.84
  4. Step 4: Simplify right side
    12,876x = 105,887,247.21
  5. Step 5: Solve for x
    x = 105,887,247.21/12,876
  6. Step 6: Final answer
    x = 8,223.61

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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.