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Finding the Fourth Proportional to 19,884.51, 29,804.89 and 8,191.35

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Solution

The fourth proportional to 19,884.51, 29,804.89 and 8,191.35 is: 12,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.51 : 29,804.89 = 8,191.35 : x
  2. Step 2: Convert to fraction form
    19,884.51/29,804.89 = 8,191.35/x
  3. Step 3: Cross multiply
    19,884.51x = 29,804.89 × 8,191.35
  4. Step 4: Simplify right side
    19,884.51x = 244,142,285.70
  5. Step 5: Solve for x
    x = 244,142,285.70/19,884.51
  6. Step 6: Final answer
    x = 12,278.01

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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.