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Finding the Fourth Proportional to 21,146, 31,730.68 and 11,791.28

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Solution

The fourth proportional to 21,146, 31,730.68 and 11,791.28 is: 17,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146 : 31,730.68 = 11,791.28 : x
  2. Step 2: Convert to fraction form
    21,146/31,730.68 = 11,791.28/x
  3. Step 3: Cross multiply
    21,146x = 31,730.68 × 11,791.28
  4. Step 4: Simplify right side
    21,146x = 374,145,332.47
  5. Step 5: Solve for x
    x = 374,145,332.47/21,146
  6. Step 6: Final answer
    x = 17,693.43

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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.