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Finding the Fourth Proportional to 1,295.98, 1,940.28 and 1,214.24

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Solution

The fourth proportional to 1,295.98, 1,940.28 and 1,214.24 is: 1,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.98 : 1,940.28 = 1,214.24 : x
  2. Step 2: Convert to fraction form
    1,295.98/1,940.28 = 1,214.24/x
  3. Step 3: Cross multiply
    1,295.98x = 1,940.28 × 1,214.24
  4. Step 4: Simplify right side
    1,295.98x = 2,355,965.59
  5. Step 5: Solve for x
    x = 2,355,965.59/1,295.98
  6. Step 6: Final answer
    x = 1,817.90

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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.