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Finding the Fourth Proportional to 29,718, 41,011.20 and 17,145.36

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Solution

The fourth proportional to 29,718, 41,011.20 and 17,145.36 is: 23,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,718 : 41,011.20 = 17,145.36 : x
  2. Step 2: Convert to fraction form
    29,718/41,011.20 = 17,145.36/x
  3. Step 3: Cross multiply
    29,718x = 41,011.20 × 17,145.36
  4. Step 4: Simplify right side
    29,718x = 703,151,788.03
  5. Step 5: Solve for x
    x = 703,151,788.03/29,718
  6. Step 6: Final answer
    x = 23,660.80

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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.