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Finding the Fourth Proportional to 11,858, 16,345.02 and 8,028.42

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Solution

The fourth proportional to 11,858, 16,345.02 and 8,028.42 is: 11,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858 : 16,345.02 = 8,028.42 : x
  2. Step 2: Convert to fraction form
    11,858/16,345.02 = 8,028.42/x
  3. Step 3: Cross multiply
    11,858x = 16,345.02 × 8,028.42
  4. Step 4: Simplify right side
    11,858x = 131,224,685.47
  5. Step 5: Solve for x
    x = 131,224,685.47/11,858
  6. Step 6: Final answer
    x = 11,066.34

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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.