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Finding the Fourth Proportional to 11,656, 17,486.77 and 3,864.81

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Solution

The fourth proportional to 11,656, 17,486.77 and 3,864.81 is: 5,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 17,486.77 = 3,864.81 : x
  2. Step 2: Convert to fraction form
    11,656/17,486.77 = 3,864.81/x
  3. Step 3: Cross multiply
    11,656x = 17,486.77 × 3,864.81
  4. Step 4: Simplify right side
    11,656x = 67,583,043.56
  5. Step 5: Solve for x
    x = 67,583,043.56/11,656
  6. Step 6: Final answer
    x = 5,798.13

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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.