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Finding the Fourth Proportional to 19,852.66, 29,715 and 10,954

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Solution

The fourth proportional to 19,852.66, 29,715 and 10,954 is: 16,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.66 : 29,715 = 10,954 : x
  2. Step 2: Convert to fraction form
    19,852.66/29,715 = 10,954/x
  3. Step 3: Cross multiply
    19,852.66x = 29,715 × 10,954
  4. Step 4: Simplify right side
    19,852.66x = 325,498,110
  5. Step 5: Solve for x
    x = 325,498,110/19,852.66
  6. Step 6: Final answer
    x = 16,395.69

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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.