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Finding the Fourth Proportional to 1,954.76, 2,930.08 and 1,214.37

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Solution

The fourth proportional to 1,954.76, 2,930.08 and 1,214.37 is: 1,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.76 : 2,930.08 = 1,214.37 : x
  2. Step 2: Convert to fraction form
    1,954.76/2,930.08 = 1,214.37/x
  3. Step 3: Cross multiply
    1,954.76x = 2,930.08 × 1,214.37
  4. Step 4: Simplify right side
    1,954.76x = 3,558,201.25
  5. Step 5: Solve for x
    x = 3,558,201.25/1,954.76
  6. Step 6: Final answer
    x = 1,820.28

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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.