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Finding the Fourth Proportional to 9,200.30, 13,800.45 and 5,919.80

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Solution

The fourth proportional to 9,200.30, 13,800.45 and 5,919.80 is: 8,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.30 : 13,800.45 = 5,919.80 : x
  2. Step 2: Convert to fraction form
    9,200.30/13,800.45 = 5,919.80/x
  3. Step 3: Cross multiply
    9,200.30x = 13,800.45 × 5,919.80
  4. Step 4: Simplify right side
    9,200.30x = 81,695,903.91
  5. Step 5: Solve for x
    x = 81,695,903.91/9,200.30
  6. Step 6: Final answer
    x = 8,879.70

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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.