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Finding the Fourth Proportional to 19,625.28, 29,424 and 9,231.36

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Solution

The fourth proportional to 19,625.28, 29,424 and 9,231.36 is: 13,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,625.28 : 29,424 = 9,231.36 : x
  2. Step 2: Convert to fraction form
    19,625.28/29,424 = 9,231.36/x
  3. Step 3: Cross multiply
    19,625.28x = 29,424 × 9,231.36
  4. Step 4: Simplify right side
    19,625.28x = 271,623,536.64
  5. Step 5: Solve for x
    x = 271,623,536.64/19,625.28
  6. Step 6: Final answer
    x = 13,840.49

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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.