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Finding the Fourth Proportional to 21,274.16, 31,911.26 and 5,691.38

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Solution

The fourth proportional to 21,274.16, 31,911.26 and 5,691.38 is: 8,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.16 : 31,911.26 = 5,691.38 : x
  2. Step 2: Convert to fraction form
    21,274.16/31,911.26 = 5,691.38/x
  3. Step 3: Cross multiply
    21,274.16x = 31,911.26 × 5,691.38
  4. Step 4: Simplify right side
    21,274.16x = 181,618,918.93
  5. Step 5: Solve for x
    x = 181,618,918.93/21,274.16
  6. Step 6: Final answer
    x = 8,537.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.