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Finding the Fourth Proportional to 11,358.82, 15,676.50 and 6,643

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Solution

The fourth proportional to 11,358.82, 15,676.50 and 6,643 is: 9,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.82 : 15,676.50 = 6,643 : x
  2. Step 2: Convert to fraction form
    11,358.82/15,676.50 = 6,643/x
  3. Step 3: Cross multiply
    11,358.82x = 15,676.50 × 6,643
  4. Step 4: Simplify right side
    11,358.82x = 104,138,989.50
  5. Step 5: Solve for x
    x = 104,138,989.50/11,358.82
  6. Step 6: Final answer
    x = 9,168.12

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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.