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Finding the Fourth Proportional to 10,449, 15,666.48 and 4,118.09

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Solution

The fourth proportional to 10,449, 15,666.48 and 4,118.09 is: 6,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449 : 15,666.48 = 4,118.09 : x
  2. Step 2: Convert to fraction form
    10,449/15,666.48 = 4,118.09/x
  3. Step 3: Cross multiply
    10,449x = 15,666.48 × 4,118.09
  4. Step 4: Simplify right side
    10,449x = 64,515,974.62
  5. Step 5: Solve for x
    x = 64,515,974.62/10,449
  6. Step 6: Final answer
    x = 6,174.37

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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.