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Finding the Fourth Proportional to 1,946.78, 2,914.95 and 1,214.90

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Solution

The fourth proportional to 1,946.78, 2,914.95 and 1,214.90 is: 1,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.78 : 2,914.95 = 1,214.90 : x
  2. Step 2: Convert to fraction form
    1,946.78/2,914.95 = 1,214.90/x
  3. Step 3: Cross multiply
    1,946.78x = 2,914.95 × 1,214.90
  4. Step 4: Simplify right side
    1,946.78x = 3,541,372.76
  5. Step 5: Solve for x
    x = 3,541,372.76/1,946.78
  6. Step 6: Final answer
    x = 1,819.09

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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.