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Finding the Fourth Proportional to 3,819, 5,730.40 and 1,628.24

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Solution

The fourth proportional to 3,819, 5,730.40 and 1,628.24 is: 2,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819 : 5,730.40 = 1,628.24 : x
  2. Step 2: Convert to fraction form
    3,819/5,730.40 = 1,628.24/x
  3. Step 3: Cross multiply
    3,819x = 5,730.40 × 1,628.24
  4. Step 4: Simplify right side
    3,819x = 9,330,466.50
  5. Step 5: Solve for x
    x = 9,330,466.50/3,819
  6. Step 6: Final answer
    x = 2,443.17

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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.