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Finding the Fourth Proportional to 2,825, 3,898.50 and 1,583

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Solution

The fourth proportional to 2,825, 3,898.50 and 1,583 is: 2,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825 : 3,898.50 = 1,583 : x
  2. Step 2: Convert to fraction form
    2,825/3,898.50 = 1,583/x
  3. Step 3: Cross multiply
    2,825x = 3,898.50 × 1,583
  4. Step 4: Simplify right side
    2,825x = 6,171,325.50
  5. Step 5: Solve for x
    x = 6,171,325.50/2,825
  6. Step 6: Final answer
    x = 2,184.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.