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Finding the Fourth Proportional to 1,830.87, 2,747.30 and 1,214.87

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Solution

The fourth proportional to 1,830.87, 2,747.30 and 1,214.87 is: 1,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.87 : 2,747.30 = 1,214.87 : x
  2. Step 2: Convert to fraction form
    1,830.87/2,747.30 = 1,214.87/x
  3. Step 3: Cross multiply
    1,830.87x = 2,747.30 × 1,214.87
  4. Step 4: Simplify right side
    1,830.87x = 3,337,592.54
  5. Step 5: Solve for x
    x = 3,337,592.54/1,830.87
  6. Step 6: Final answer
    x = 1,822.95

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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.