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Finding the Fourth Proportional to 19,884.57, 29,832.62 and 12,383.16

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Solution

The fourth proportional to 19,884.57, 29,832.62 and 12,383.16 is: 18,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.57 : 29,832.62 = 12,383.16 : x
  2. Step 2: Convert to fraction form
    19,884.57/29,832.62 = 12,383.16/x
  3. Step 3: Cross multiply
    19,884.57x = 29,832.62 × 12,383.16
  4. Step 4: Simplify right side
    19,884.57x = 369,421,957.52
  5. Step 5: Solve for x
    x = 369,421,957.52/19,884.57
  6. Step 6: Final answer
    x = 18,578.33

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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.