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Finding the Fourth Proportional to 7,624.10, 11,440.38 and 3,728.54

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Solution

The fourth proportional to 7,624.10, 11,440.38 and 3,728.54 is: 5,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.10 : 11,440.38 = 3,728.54 : x
  2. Step 2: Convert to fraction form
    7,624.10/11,440.38 = 3,728.54/x
  3. Step 3: Cross multiply
    7,624.10x = 11,440.38 × 3,728.54
  4. Step 4: Simplify right side
    7,624.10x = 42,655,914.45
  5. Step 5: Solve for x
    x = 42,655,914.45/7,624.10
  6. Step 6: Final answer
    x = 5,594.88

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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.