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Finding the Fourth Proportional to 16,149.40, 24,230.36 and 7,828.80

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Solution

The fourth proportional to 16,149.40, 24,230.36 and 7,828.80 is: 11,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.40 : 24,230.36 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    16,149.40/24,230.36 = 7,828.80/x
  3. Step 3: Cross multiply
    16,149.40x = 24,230.36 × 7,828.80
  4. Step 4: Simplify right side
    16,149.40x = 189,694,642.37
  5. Step 5: Solve for x
    x = 189,694,642.37/16,149.40
  6. Step 6: Final answer
    x = 11,746.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.