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Finding the Fourth Proportional to 13,182.62, 19,779.12 and 5,781.92

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Solution

The fourth proportional to 13,182.62, 19,779.12 and 5,781.92 is: 8,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.62 : 19,779.12 = 5,781.92 : x
  2. Step 2: Convert to fraction form
    13,182.62/19,779.12 = 5,781.92/x
  3. Step 3: Cross multiply
    13,182.62x = 19,779.12 × 5,781.92
  4. Step 4: Simplify right side
    13,182.62x = 114,361,190.61
  5. Step 5: Solve for x
    x = 114,361,190.61/13,182.62
  6. Step 6: Final answer
    x = 8,675.15

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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.