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Finding the Fourth Proportional to 19,996.94, 29,996.50 and 5,205.90

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Solution

The fourth proportional to 19,996.94, 29,996.50 and 5,205.90 is: 7,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996.94 : 29,996.50 = 5,205.90 : x
  2. Step 2: Convert to fraction form
    19,996.94/29,996.50 = 5,205.90/x
  3. Step 3: Cross multiply
    19,996.94x = 29,996.50 × 5,205.90
  4. Step 4: Simplify right side
    19,996.94x = 156,158,779.35
  5. Step 5: Solve for x
    x = 156,158,779.35/19,996.94
  6. Step 6: Final answer
    x = 7,809.13

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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.