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Finding the Fourth Proportional to 19,383.78, 29,078.62 and 8,290.50

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Solution

The fourth proportional to 19,383.78, 29,078.62 and 8,290.50 is: 12,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383.78 : 29,078.62 = 8,290.50 : x
  2. Step 2: Convert to fraction form
    19,383.78/29,078.62 = 8,290.50/x
  3. Step 3: Cross multiply
    19,383.78x = 29,078.62 × 8,290.50
  4. Step 4: Simplify right side
    19,383.78x = 241,076,299.11
  5. Step 5: Solve for x
    x = 241,076,299.11/19,383.78
  6. Step 6: Final answer
    x = 12,437.01

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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.