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Finding the Fourth Proportional to 11,612.60, 16,029.96 and 7,838

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Solution

The fourth proportional to 11,612.60, 16,029.96 and 7,838 is: 10,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.60 : 16,029.96 = 7,838 : x
  2. Step 2: Convert to fraction form
    11,612.60/16,029.96 = 7,838/x
  3. Step 3: Cross multiply
    11,612.60x = 16,029.96 × 7,838
  4. Step 4: Simplify right side
    11,612.60x = 125,642,826.48
  5. Step 5: Solve for x
    x = 125,642,826.48/11,612.60
  6. Step 6: Final answer
    x = 10,819.53

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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.