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Finding the Fourth Proportional to 1,954.15, 2,932.34 and 721.40

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Solution

The fourth proportional to 1,954.15, 2,932.34 and 721.40 is: 1,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.15 : 2,932.34 = 721.40 : x
  2. Step 2: Convert to fraction form
    1,954.15/2,932.34 = 721.40/x
  3. Step 3: Cross multiply
    1,954.15x = 2,932.34 × 721.40
  4. Step 4: Simplify right side
    1,954.15x = 2,115,371.81
  5. Step 5: Solve for x
    x = 2,115,371.81/1,954.15
  6. Step 6: Final answer
    x = 1,082.50

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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.