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Finding the Fourth Proportional to 10,191.80, 14,067.60 and 6,002.48

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Solution

The fourth proportional to 10,191.80, 14,067.60 and 6,002.48 is: 8,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.80 : 14,067.60 = 6,002.48 : x
  2. Step 2: Convert to fraction form
    10,191.80/14,067.60 = 6,002.48/x
  3. Step 3: Cross multiply
    10,191.80x = 14,067.60 × 6,002.48
  4. Step 4: Simplify right side
    10,191.80x = 84,440,487.65
  5. Step 5: Solve for x
    x = 84,440,487.65/10,191.80
  6. Step 6: Final answer
    x = 8,285.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.