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Finding the Fourth Proportional to 11,788, 16,267.82 and 6,483.20

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Solution

The fourth proportional to 11,788, 16,267.82 and 6,483.20 is: 8,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788 : 16,267.82 = 6,483.20 : x
  2. Step 2: Convert to fraction form
    11,788/16,267.82 = 6,483.20/x
  3. Step 3: Cross multiply
    11,788x = 16,267.82 × 6,483.20
  4. Step 4: Simplify right side
    11,788x = 105,467,530.62
  5. Step 5: Solve for x
    x = 105,467,530.62/11,788
  6. Step 6: Final answer
    x = 8,947.02

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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.