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Finding the Fourth Proportional to 3,815.19, 5,724.18 and 1,624.05

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Solution

The fourth proportional to 3,815.19, 5,724.18 and 1,624.05 is: 2,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.19 : 5,724.18 = 1,624.05 : x
  2. Step 2: Convert to fraction form
    3,815.19/5,724.18 = 1,624.05/x
  3. Step 3: Cross multiply
    3,815.19x = 5,724.18 × 1,624.05
  4. Step 4: Simplify right side
    3,815.19x = 9,296,354.53
  5. Step 5: Solve for x
    x = 9,296,354.53/3,815.19
  6. Step 6: Final answer
    x = 2,436.67

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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.