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Finding the Fourth Proportional to 12,451, 18,676.50 and 4,663.48

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Solution

The fourth proportional to 12,451, 18,676.50 and 4,663.48 is: 6,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451 : 18,676.50 = 4,663.48 : x
  2. Step 2: Convert to fraction form
    12,451/18,676.50 = 4,663.48/x
  3. Step 3: Cross multiply
    12,451x = 18,676.50 × 4,663.48
  4. Step 4: Simplify right side
    12,451x = 87,097,484.22
  5. Step 5: Solve for x
    x = 87,097,484.22/12,451
  6. Step 6: Final answer
    x = 6,995.22

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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.