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Finding the Fourth Proportional to 19,817.75, 27,349.71 and 11,434.25

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Solution

The fourth proportional to 19,817.75, 27,349.71 and 11,434.25 is: 15,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.75 : 27,349.71 = 11,434.25 : x
  2. Step 2: Convert to fraction form
    19,817.75/27,349.71 = 11,434.25/x
  3. Step 3: Cross multiply
    19,817.75x = 27,349.71 × 11,434.25
  4. Step 4: Simplify right side
    19,817.75x = 312,723,421.57
  5. Step 5: Solve for x
    x = 312,723,421.57/19,817.75
  6. Step 6: Final answer
    x = 15,779.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.