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Finding the Fourth Proportional to 11,862, 16,369.83 and 7,677.54

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Solution

The fourth proportional to 11,862, 16,369.83 and 7,677.54 is: 10,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 16,369.83 = 7,677.54 : x
  2. Step 2: Convert to fraction form
    11,862/16,369.83 = 7,677.54/x
  3. Step 3: Cross multiply
    11,862x = 16,369.83 × 7,677.54
  4. Step 4: Simplify right side
    11,862x = 125,680,024.62
  5. Step 5: Solve for x
    x = 125,680,024.62/11,862
  6. Step 6: Final answer
    x = 10,595.18

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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.