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Finding the Fourth Proportional to 19,682, 27,160.36 and 10,729.31

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Solution

The fourth proportional to 19,682, 27,160.36 and 10,729.31 is: 14,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682 : 27,160.36 = 10,729.31 : x
  2. Step 2: Convert to fraction form
    19,682/27,160.36 = 10,729.31/x
  3. Step 3: Cross multiply
    19,682x = 27,160.36 × 10,729.31
  4. Step 4: Simplify right side
    19,682x = 291,411,922.15
  5. Step 5: Solve for x
    x = 291,411,922.15/19,682
  6. Step 6: Final answer
    x = 14,806.01

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Why These Related Problems?

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