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Finding the Fourth Proportional to 21,735, 29,995.03 and 12,175.29

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Solution

The fourth proportional to 21,735, 29,995.03 and 12,175.29 is: 16,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735 : 29,995.03 = 12,175.29 : x
  2. Step 2: Convert to fraction form
    21,735/29,995.03 = 12,175.29/x
  3. Step 3: Cross multiply
    21,735x = 29,995.03 × 12,175.29
  4. Step 4: Simplify right side
    21,735x = 365,198,188.81
  5. Step 5: Solve for x
    x = 365,198,188.81/21,735
  6. Step 6: Final answer
    x = 16,802.31

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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.