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Finding the Fourth Proportional to 10,309, 14,213.13 and 8,418.58

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Solution

The fourth proportional to 10,309, 14,213.13 and 8,418.58 is: 11,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 14,213.13 = 8,418.58 : x
  2. Step 2: Convert to fraction form
    10,309/14,213.13 = 8,418.58/x
  3. Step 3: Cross multiply
    10,309x = 14,213.13 × 8,418.58
  4. Step 4: Simplify right side
    10,309x = 119,654,371.96
  5. Step 5: Solve for x
    x = 119,654,371.96/10,309
  6. Step 6: Final answer
    x = 11,606.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.