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Finding the Fourth Proportional to 29,172, 40,257.36 and 15,924

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Solution

The fourth proportional to 29,172, 40,257.36 and 15,924 is: 21,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172 : 40,257.36 = 15,924 : x
  2. Step 2: Convert to fraction form
    29,172/40,257.36 = 15,924/x
  3. Step 3: Cross multiply
    29,172x = 40,257.36 × 15,924
  4. Step 4: Simplify right side
    29,172x = 641,058,200.64
  5. Step 5: Solve for x
    x = 641,058,200.64/29,172
  6. Step 6: Final answer
    x = 21,975.12

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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.