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Finding the Fourth Proportional to 11,810.68, 17,715.71 and 4,788.81

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Solution

The fourth proportional to 11,810.68, 17,715.71 and 4,788.81 is: 7,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.68 : 17,715.71 = 4,788.81 : x
  2. Step 2: Convert to fraction form
    11,810.68/17,715.71 = 4,788.81/x
  3. Step 3: Cross multiply
    11,810.68x = 17,715.71 × 4,788.81
  4. Step 4: Simplify right side
    11,810.68x = 84,837,169.21
  5. Step 5: Solve for x
    x = 84,837,169.21/11,810.68
  6. Step 6: Final answer
    x = 7,183.09

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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.