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Finding the Fourth Proportional to 19,880.64, 29,834.64 and 8,193.84

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Solution

The fourth proportional to 19,880.64, 29,834.64 and 8,193.84 is: 12,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.64 : 29,834.64 = 8,193.84 : x
  2. Step 2: Convert to fraction form
    19,880.64/29,834.64 = 8,193.84/x
  3. Step 3: Cross multiply
    19,880.64x = 29,834.64 × 8,193.84
  4. Step 4: Simplify right side
    19,880.64x = 244,460,266.62
  5. Step 5: Solve for x
    x = 244,460,266.62/19,880.64
  6. Step 6: Final answer
    x = 12,296.40

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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.