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Finding the Fourth Proportional to 11,857.77, 17,789.81 and 3,537.81

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Solution

The fourth proportional to 11,857.77, 17,789.81 and 3,537.81 is: 5,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.77 : 17,789.81 = 3,537.81 : x
  2. Step 2: Convert to fraction form
    11,857.77/17,789.81 = 3,537.81/x
  3. Step 3: Cross multiply
    11,857.77x = 17,789.81 × 3,537.81
  4. Step 4: Simplify right side
    11,857.77x = 62,936,950.03
  5. Step 5: Solve for x
    x = 62,936,950.03/11,857.77
  6. Step 6: Final answer
    x = 5,307.65

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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.