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Finding the Fourth Proportional to 21,197.44, 31,791.30 and 9,514

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Solution

The fourth proportional to 21,197.44, 31,791.30 and 9,514 is: 14,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.44 : 31,791.30 = 9,514 : x
  2. Step 2: Convert to fraction form
    21,197.44/31,791.30 = 9,514/x
  3. Step 3: Cross multiply
    21,197.44x = 31,791.30 × 9,514
  4. Step 4: Simplify right side
    21,197.44x = 302,462,428.20
  5. Step 5: Solve for x
    x = 302,462,428.20/21,197.44
  6. Step 6: Final answer
    x = 14,268.82

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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.