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Finding the Fourth Proportional to 1,954.71, 2,930.02 and 721.34

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Solution

The fourth proportional to 1,954.71, 2,930.02 and 721.34 is: 1,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.71 : 2,930.02 = 721.34 : x
  2. Step 2: Convert to fraction form
    1,954.71/2,930.02 = 721.34/x
  3. Step 3: Cross multiply
    1,954.71x = 2,930.02 × 721.34
  4. Step 4: Simplify right side
    1,954.71x = 2,113,540.63
  5. Step 5: Solve for x
    x = 2,113,540.63/1,954.71
  6. Step 6: Final answer
    x = 1,081.26

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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.